Publications
Publications of IGA members.
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Accepted for publication
- A. Fino, T. Leistner, A. Taghavi-Chabert, Optical geometries, Annali della Scuola Normale Superiore di Pisa (to appear), 46 pp, [arXiv:2009.10012]
- F. Costanza, M. Eastwood, T. Leistner, B. McMillan, A Calabi operator for Riemannian locally symmetric spaces, American Journal of Mathematics (to appear), 17 pages. [arXiv:2112.00841]
- F. Costanza, T. Leistner, Killing vector fields on semi-Riemannian product manifolds, to appear in the Matrix Annals, 7 pages. [arXiv:2312.00569]
- T. Leistner, S. Teisseire, Conformal transformations of Cahen-Wallach spaces, Annales de l'Institute Fourier (to appear), 40 pages. [arXiv:2201.12958]
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Refereed publications (2025)
- A. Alarcón, F. Lárusson, A strong parametric h-principle for complete minimal surfaces. J. Geom. Anal. 35 (2025), no. 2, Paper No. 42, 29 pp.
- F. Forstnerič, F. Lárusson, Oka-1 manifolds: new examples and properties. Math. Z. 309 (2025), no. 2, Paper No. 26, 16 pp.
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Refereed publications (2024)
- A. Alarcón, F. Lárusson, The space of Gauss maps of complete minimal surfaces. Ann. Sc. Norm. Super. Pisa Cl. Sci. (5) 25 (2024), no. 2, 669–688.
- D. Baraglia, P. Hekmati, Brieskorn spheres, cyclic group actions and the Milnor conjecture. J. Topol. 17 (2024), no. 2, Paper No. e12339, 40 pp. [arXiv:2208.05143]
- D. Baraglia, An adjunction inequality obstruction to isotopy of embedded surfaces in 4-manifolds. Math. Res. Lett. 31 (2024), no. 2, 329–352. [arXiv:2001.04006]
- D. Baraglia, Knot concordance invariants from Seiberg-Witten theory and slice genus bounds in 4-manifolds. Internat. J. Math. 35 (2024), no. 10, Paper No. 2450032, 29 pp. [arXiv:2205.11670]
- D. Baraglia, P. Hekmati, Equivariant Seiberg-Witten-Floer cohomology. Algebr. Geom. Topol. 24 (2024), no. 1, 493–554. [arXiv:2108.06855]
- S.G. Barwick, W.-A. Jackson, P. Wild, The feet of orthogonal Buekenhout-Metz unitals. Adv. Geom., 2024; 24(2), 275-285.
- V. Cortes, T. Leistner, Compact locally conformally pseudo-Kaehler manifolds with essential conformal transformations, SIGMA 20 (2024), 084, 12 pages. [arXiv:2309.11184]
- T. Leistner, S. Teisseire, Fundamental regions for non-isometric group actions, Geometriae Dedicata (2024) 218:95, 13 pages. [arXiv:2112.11082]
- I. Anderson, T. Leistner, A. Lischewski, P. Nurowski, Conformal Walker metrics and linear Fefferman-Graham equations, Communications in Analysis and Geometry, Vol 32 (2024), no 3, pp. 693-749. [arXiv:1609.02371]
- F. Han, V. Mathai, T-duality with H-flux for 2d σ-models. Comm. Math. Phys. 405 (2024), no. 12, Paper No. 294, 23 pp.
- D. M. Roberts, Homotopy types of topological stacks of categories. New York J. Math. 30 (2024), 940–955. [arXiv:2204.02778]
- L. Lane-Harvard, T. Penttila, Some new strongly regular graphs from quadrics. Combinatorics, graph theory and computing, 73–77, Springer Proc. Math. Stat., 448, Springer, Cham, 2024.
- G. Monzillo, T. Penttila, A. Siciliano, Classifying pseudo-ovals, translation generalized quadrangles, and elation Laguerre planes of small order. Des. Codes Cryptogr. 92 (2024), no. 8, 2183–2196.
- P. Biondi, N. Durante, T. Penttila, Harmonic ovals. J. Geom. 115 (2024), no. 2, Paper No. 22, 25 pp.
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Refereed publications (2023)
- A. Fino, T. Leistner, A. Taghavi-Chabert, Almost Robinson geometries, Letters in Mathematical Physics 113, 56 (2023) 104pp
- T. Leistner and T. Munn, Completeness of certain compact Lorentzian locally symmetric spaces, Comptes Rendus - Serie Mathematique, 6 pages, [arXiv:2211.02380]
- I. Anderson, T. Leistner, A. Lischewski, and P. Nurowski, Conformal Walker metrics and linear Fefferman-Graham equations, Communications in Analysis and Geometry, 37 pages, [arXiv:1609.02371]
- D. Alekseevsky, V. Cortés and T. Leistner, Geometry and holonomy of indecomposable cones, Revista Matemática Iberoamericana VOL. 39, NO. 3, (2023) 1105–1141.[arXiv:1902.02493]
- D. Alekseevsky, V. Cortés and T. Leistner, Semi-Riemannian cones with parallel null planes, evelopments in Lorentzian Geometry. GELOMA 2021, Springer Proceedings in Mathematics and Statistics , vol. 389, pp1-11. [arXiv:1902.02493]
- S. Barwick, Wen-Ai Jackson, P. Wild, A characterisation of 𝔽q-conics of PG(2,q3). Discrete Math. 346 (2023), no. 4, Paper No. 113282
- S. Barwick, A. Hui, Wen-Ai Jackson, A geometric description of the Figueroa plane. Des. Codes Cryptogr. 91 (2023), no. 5, 1581–1593
- D. Baraglia, Non-trivial smooth families of K3 surfaces, Math. Ann. (2023), no. 3-4, 1719–1744. [arXiv:2102.06354]
- D. Baraglia, Tautological classes of definite 4-manifolds, Geom. Topol. (2023), no. 2, 641–698. [arXiv:2008.04519]
- D. Baraglia, Hokuto Konno, A note on the Nielsen realization problem for K3 surfaces, Proc. Amer. Math. Soc. 151 (2023), no. 9, 4079–4087
- D. Baraglia, On the slice genus of quasipositive knots in indefinite 4-manifolds. Selecta Math. (N.S.) 29 (2023), no. 4, Paper No. 61, 12 pp.
- D. Roberts, "Substructural fixed-point theorems and the diagonal argument: theme and variations", Compositionality Volume 5, Issue 8 (2023) 16pp
- N. Buchdahl, G. Schumacher, Weil-Petersson forms for families of polystable bundles over compact Kähler manifolds. Internat. J. Math. 34 (2023), no. 13, Paper No. 2350082, 28 pp.
- J. Bamberg, T. Penttila, Analytic projective geometry. Cambridge University Press, Cambridge, 2023. xii+462 pp.
- J. Bamberg, T. Penttila, Simpler foundations for the hyperbolic plane. Forum Math. 35 (2023), no. 5, 1301–1325.
- G. Monzillo, T. Penttila, A. Siciliano, Classification of spreads of Tits quadrangles of order 64. Finite Fields Appl. 90 (2023), Paper No. 102228, 23 pp.
- G. Monzillo, T. Penttila, A. Siciliano, Eggs in finite projective spaces and unitals in translation planes. Des. Codes Cryptogr. 91 (2023), no. 4, 1475–1485.
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Refereed publications (2022)
- Fei Han and V. Mathai, T-duality, vertical holonomy line bundles and loop Hori formulae, Reviews in Mathematical Physics 34 no.7 (2022) 2250019, 25pp [2202.09908]
- Fei Han and V. Mathai, Witten Genus and Elliptic genera for proper actions Communications in Mathematical Physics 389, (2022) 1215-1239
- H. Guo, and V. Mathai, Higher localised A-hat genera for proper actions and applications Journal of Functional Analysis 283 no. 12 (2022) 109695 59pp
- H. Guo, and V. Mathai, An equivariant Poincare duality for proper cocompact actions by matrix groups, Journal of Noncommutative Geometry 16 no. 4 (2022) 1397-1410
- Franc Forstneric and Finnur Larusson, Holomorphic Legendrian curves in projectivised cotangent bundles, Indiana University Mathematics Journal, 71 (2022), no. 1, 93-124. .
- L. Arosio, and F. Lárusson, Dynamics of generic endomorphisms of Oka-Stein manifolds. Math. Z. 300 (2022), no. 3, 2467-2484.
- F. Kutzschebauch, F. Lárusson, and G. W. Schwarz, Equivariant Oka theory: Survey of recent progress, Complex Analysis and its Synergies, vol. 8 no 3 (2022) article 15.
- M. Eastwood and T. Moy, Spinors in five-dimensional contact geometry. SIGMA, 18 (2022), Paper No. 031.
- M. Eastwood, L. Zalabová; Special metrics and scales in parabolic geometry. Ann. Global Anal. Geom. 62 (2022), no. 3, 635-659
- D. Baraglia; P. Hekmati, A foliated Hitchin-Kobayashi correspondence. Adv. Math. 408 (2022), Paper No. 108661.
- D. Baraglia and H. Konno, On the Bauer-Furuta and Seiberg-Witten invariants of families of 4-manifolds, J. Topol. Vol. 15 no. 2, 505-586 (2022).
- D. Roberts, Many finite-dimensional lifting bundle gerbes are torsion, Bulletin of the AustMS 105 , no. 2, (2022) 323 - 338 [2104.0793],
- L. MacDonald, A characteristic map for the holonomy groupoid of a foliation, Mathematische Zeitschrift, 300, 1093–1115 (2022)
- O. Milatovic and H. Saratchandran, Essential self-adjointness of perturbed \ biharmonic operators via conformally transformed metrics, Potential Analysis. 56, (2022) 623-647
- O. Milatovic and H. Saratchandran, Generalized Ornstein-Uhlenbeck semigroups in weighted Lp-spaces on Riemannian manifolds. J. Funct. Anal. 283 (2022), no. 8, Paper No. 109623, 62 pp.
- N. Buchdahl, G. Schumacher, An analytic application of Geometric Invariant Theory II: Coarse moduli spaces. J. Geom. Phys. 175 (2022), Paper No. 104467.
- N. Buchdahl, G. Schumacher, Polystable bundles and representations of their automorphisms. Complex Manifolds 9 (2022), no. 1, 78-113.
- G. Monzillo, T. Penttila, A. Siciliano, Classification of flocks of the quadratic cone in PG(3,64). Finite Fields Appl. 81 (2022), Paper No. 102035, 13 pp.
- T. Penttila, Uniqueness of the inversive plane of order sixty-four. Des. Codes Cryptogr. 90 (2022), no. 3, 827–834.
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Refereed publications (2021)
- H. Guo, P. Hochs and V. Mathai, Coarse geometry and Callias quantisation, Transactions of the American Mathematical Society, 374 (2021), no. 4, 2479–2520.
- Jaklyn Crilly and V. Mathai, Exotic Courant algebroids and T-duality, Journal of Geometry and Physics, 163 (2021) 104155 12 pp.
- L. MacDonald, V. Mathai, H. Saratchandran, On the Chern character in Higher Twisted K-theory and spherical T-duality, Communications in Mathematical Physics 385 (2021) 331-368. [2007.02507]
- A. Linshaw and V. Mathai, T-duality and the exotic chiral de Rham complex, Communications in Mathematical Physics, 385 (2021) 1133-1161. [2008.00632]
- Chi-Kwong Fok and V. Mathai, The ring structure of twisted equivariant KK-theory for noncompact Lie groups, Communications in Mathematical Physics, 385 (2021) 633-666. [1903.05298]
- V. Mathai and G. Wilkin, Fractional Quantum Numbers, Complex Orbifolds and Noncommutative Geometry, Journal of Physics A: Mathematical and Theoretical Special issue, Noncommutative Geometry in Physics, 54 (2021) 314001, 18pp
- H. Guo, P. Hochs and V. Mathai, Positive scalar curvature and an equivariant Callias-type index theorem for proper actions, Annals of K-theory, 6 no.2 (2021) 319–356. [2001.07336]
- Fei Han and V. Mathai, T-Duality, Jacobi Forms and Witten Gerbe Modules, Advances in Theoretical and Mathematical Physics, (to appear) 23 pp [2001.00322]
- Hao Guo, Index of Equivariant Callias-Type Operators and Invariant Metrics of Positive Scalar Curvature, J. Geom. Anal. 31, (2021) 1-34. [1803.05558]
- J. Mickelsson, M.K. Murray, Non-associative magnetic translations from parallel transport in projective Hilbert bundles. J. Geom. Phys. 163 (2021), 104152, 7 pp
- M. K. Murray and P. Norbury, JNR Monopoles, Quarterly Journal of Mathematics 72, Issue 1-2, (2021) 387–405.
- D. Baraglia, Constraints on families of smooth 4-manifolds from Bauer-Furuta invariants, Algebr. Geom. Topol. 21 (2021) 317-349.
- Guanheng Chen, On cobordism maps on periodic Floer homology, Algebr. Geom. Topol. 21 (2021) no. 1, 1-103.
- Frank Kutzschebauch, Finnur Larusson, and Gerald W. Schwarz Gromov's Oka principle for equivariant maps, Journal of Geometric Analysis, 31 (2021), no. 6, 6102–6127..
- T. Leistner, Semi-Riemannian cones, Geometry, Lie Theory and Applications: The Abel Symposium 2019, Springer 2022, https://link.springer.com/book/9783030812959
- K. Francis-Staite, T. Leistner, Conformal properties of indefinite bi-invariant metrics, Transformation Groups, 26, (2021) 859-892 [1901.04682]
- S.G. Barwick; Hui, Alice M. W.; Jackson, Wen-Ai; Schillewaert, Jeroen; Characterising the secant lines of Q(4,q),q even. J. Combin. Theory Ser. A 182 (2021), 105476.
- S.G. Barwick, Jackson, Wen-Ai; Wild, Peter; The Bose representation of PG(2,q3) in PG(8,q). Australas. J. Combin. 79 (2021), 31–54.
- H. Saratchandran, Essential self-adjointness of perturbed quadharmonic operators on Riemannian manifolds with an application to the separation problem, Math. Nachr. 294 no. 5 (2021) 997-1044..
- O. Milatovic and H. Saratchandran, Essential self-adjointness of perturbed biharmonic operators via conformally transformed metrics, Potential Analysis. (published online)
- B. Nagy and D.M. Roberts (Re)constructing code loops, Am. Math. Mon., 128 Issue 2 (2021) 151–161, arXiv:1903.02748
- D. Roberts and A. Schmeding, Extending Whitney's extension theorem: nonlinear function spaces, Annales de l'Institut Fourier, (published online) [1801.04126]
- D. Roberts, The elementary construction of formal anafunctors, Categories and General Algebraic Structures 15 no. 1 (2021) 183-229
- D. Roberts, Many finite-dimensional lifting bundle gerbes are torsion, Bulletin of the AustMS published online [2104.0793],
- N. Buchdahl, G. Schumacher, An analytic application of Geometric Invariant Theory, J. Geom. Phys. 165 (2021), 104237
- B. McMillan , Geometry and conservation laws for a class of second-order parabolic equations II: Conservation Laws, SIGMA, 17 (2021), No. 047, 24 pp.
- L. MacDonald, The Holonomy Groupoids of Singularly Foliated Bundles, SIGMA 17 (2021), 043, 34 pp.
- L. MacDonald, Hierarchies of holonomy groupoids for foliated bundles. Ann. Global Anal. Geom. 60 (2021), no. 3, 609-646.
- T. Penttila, A. Siciliano, On the incidence map of incidence structures. Ars Math. Contemp. 20 (2021), no. 1, 51–68.
- D. Davidova, L. Budaghyan, C. Carlet, T. Helleseth, F. Ihringer, T. Penttila, Relation between o-equivalence and EA-equivalence for Niho bent functions. Finite Fields Appl. 72 (2021), Paper No. 101834, 42 pp.
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Refereed publications (2020)
- Fei Han and V. Mathai, Exotic Twisted Equivariant K-Theory, J. Geom. Phys. 158(2020) 103930 14pp [1712.06267]
- M. Hallam and V. Mathai, Positive scalar curvature metrics via end-periodic manifolds, Ann. K-theory 5 no. 3 (2020) 639-676. [1706.09354]
- V. Mathai and J. Rosenberg, The Riemann-Roch theorem on higher dimensional complex noncommutative tori, J. Geom. Phys. 147 (2020) 103534, 9 pp, [1907.10200]
- M. T. Benameur and V. Mathai, Proof of the magnetic gap-labelling conjecture for principal solenoidal tori, J. Funct. Anal. 278 (2020) 108323, 8 pp, [1806.06302]
- V. Mathai, W. Zhang, F. Han, G. Yu (Editors), Index Theory, Duality and Related Fields, Special Issue of J. Geom. Phys. (2020)
- P. Hochs, Hang Wang, An equivariant orbifold index for proper actions J. Geom. Phys. 154 (2020) 103710, 11 pp.
- P. Hochs, Y. Song and S. Yu, A geometric realisation of tempered representations restricted to maximal compact subgroups, Math. Ann., 378, (2020) 97–152 ArXiv:1705.0208
- K. E. Becker, M. K. Murray, D. Stevenson, The Weyl map and bundle gerbes, J. Geom. Phys. 149 (2020) 103572, 19 pp.
- P. Hekmati, M. Murray, R. Szabo, R. Vozzo, Sign choices for orientifolds, Commun. Math. Phys. 378, (2020) 1843–1873
- D. Calderbank, M. Eastwood, V. Matveev, K. Neusser, C-projective geometry, Mem. Amer. Math. Soc., vol 267, no. 1299, (2020) 137pp [1512.04516]
- M. Eastwood, P. Nurowski, Aerodynamics of Flying Saucers. Comm. Math. Phys. 375 (2020), no. 3, 2367-2387.
- M. Eastwood, P. Nurowski, Aerobatics of Flying Saucers. Comm. Math. Phys. 375 (2020), no. 3, 2335-2365.
- L. Arosio and F. Larusson, Generic aspects of holomophic dynamics on highly flexible complex manifolds, Annali di Matematica Pura ed Applicata, 199, (2020) 1697-1711
- Differential Geometry in the Large, EDITORS:Owen Dearricott, Wilderich Tuschmann, Yuri Nikolayevsky, Thomas Leistner, Diarmuid Crowley. London Mathematical Society Lecture Note Series.
- I.M. Anderson, T. Leistner and P. Nurowski, Explicit ambient metrics and holonomy, J. Diff. Geom. 114, No. 2 (2020), 193-242. [1501.00852]
- S.G. Barwick, Jackson, Wen-Ai Sets of class [q+1,2q+1,3q+1]3 in PG(4,q). Discrete Math. 343 (2020), no. 9, 111993, 8 pp.
- S. G. Barwick, W-A. Jackson, A characterisation of Baer subplanes. J. Geom. 111 (2020), paper no. 2, 25 pp.
- S. G. Barwick, A. Hui, W-A. Jackson, Characterising elliptic solids of Q(4,q), q even. Discrete Math. 343 (2020), no. 6, 111857.
- S. G. Barwick, A. Hui, W-A. Jackson, J. Schillewaert, Characterising hyperbolic hyperplanes of a non-singular quadric in PG(4,q). Des. Codes Cryptogr. 88 (2020), no. 1, 33-39.
- S. G. Barwick, W-A. Jackson, P. Wild, 2-Special normal rational curves in PG(4,q). J. Geom. 111 (2020), no. 1, Paper No. 3, 12 pp.
- D. Baraglia and H. Konno, A gluing formula for families Seiberg-Witten invariants, Geom. Top. 24 (2020) 1381-1456..
- G.C. Thiang, Edge-following topological states, J. Geom. Phys. 156 (2020) 103796 [arXiv:1908.09559]
- M. Ludewig, G.C. Thiang, Good Wannier bases in Hilbert modules associated to topological insulators, J. Math. Phys. 61 (2020), no. 6, 061902, 22 pp. [arXiv:2001.08339]
- M. Ludewig, S. Roos, The Chiral Anomaly of the Free Fermion in Functorial Field Theory. Ann. Henri Poincare 21, (2020) 1191-1233.
- L. Macdonald, Equivariant KK-theory for non-Hausdorff groupoids, J. Geom. Phys. 154 (2020) 103709
- L. Macdonald and A. Rennie, The Godbillon-Vey invariant and equivariant KK-theory. Ann. K-theory 5 (2020), No. 2, 249-294.
- D. M. Roberts Topological sectors for heterotic M5-brane charges under Hypothesis H, J. High Energ. Phys. (2020) article no. 52, 17pp arXiv:2003.09832. ECMS publicity
- N. Buchdahl, G. Schumacher, L2-cohomology for affine spaces and an application to monads. Rocky Mountain Journal of Mathematics, 50(5),(2020) 1599-1616.
- B. McMillan, Geometry and conservation laws for a class of second-order parabolic equations I: Geometry, J. Geom. Phys. 157 (2020), 103824, 29pp
- B. Moore, A proof of the Landsberg-Schaar relation by finite methods. Ramanujan J. 53 (2020), no. 3, 653–665.
- T. Penttila, A. Siciliano, Variations on a theme of Glauberman. Results Math. 75 (2020), no. 3, Paper No. 123, 13 pp.
- T. Penttila, A. Siciliano, Bol quasifields. Math. Commun. 25 (2020), no. 1, 1–12.
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Refereed publications (2019)
- Fei Han and V. Mathai, Projective Elliptic genera and Elliptic Pseudodifferential genera, Adv. Math. 358, (2019), 106860 25 pp [1903.07035]
- V. Mathai and G. Wilkin, Fractional quantum numbers via complex orbifolds, Lett. Math. Phys. 109, no. 11 (2019), 2473-2484 [1811.11748]
- Hao Guo, V. Mathai and Hang Wang, Positive scalar curvature and Poincaré duality for proper actions, J. Noncommut. Geom., 13 no.4 (2019) 1381-1433. [1609.01404]
- V. Mathai and G. C. Thiang, Topological phases on the hyperbolic plane: fractional bulk-boundary correspondence, Adv. Theor. Math. Phys. 23 no. 3 (2019) 803-840, [1712.02952]
- G. Landi, V. Mathai, N. Higson, G. Yu (Editors), NCG 2017: Connes' 70th birthday celebration, Special Issue of J. Geom. Phys. (2019).
- P. Hochs, Y. Song and S. Yu, A geometric formula for multiplicities of K-types of tempered representations, Trans. Amer. Math. Soc, 372(12) (2019), 8553-8586. ArXiv:1805.02297.
- P. Hochs and A. Roberts, Normal forms and invariant manifolds for nonlinear, non-autonomous PDEs, viewed as ODEs in infinite dimensions, J. Differential Equations, 267(12) (2019), 7263-7312.
- P. Hochs and H. Wang, Orbital integrals and K-theory classes, Ann. K-theory, 4(2) (2019), 185-209, ArXiv:1803.07208.
- P. Hekmati, M. K. Murray, R. J. Szabo and R. F. Vozzo, Real bundle gerbes, orientifolds and twisted KR-homology Adv. Theor. Math. Phys. 23 no. 8 (2019) 2093-2159.
- F. Larusson and Tuyen Truong, Approximation and interpolation of regular maps from affine varieties to algebraic manifolds, Math. Scand. 125 (2019), no. 2, 199-209.
- L. Arosio and F. Larusson, Chaotic holomorphic automorphisms of Stein manifolds with the volume density property, J. Geom. Anal. no.2 (2019) 1744-1762.
- F. Forstneric and F. Larusson, The parametric h-principle for minimal surfaces in R^n and null curves in C^n, Comm. Anal. Geom. 27 no. 1 (2019) 1-45.
- M. Eastwood, and J. Slovak, Conformally Fedosov manifolds. Adv. Math. 349 (2019), 839-868.
- A. Gover and T. Leistner, Invariant prolongation of the Killing tensor equation, Ann. Mat. Pura Appl., 198, no.1 (2019) 307-334. [1802.05866]
- T. Leistner and A. Lischewski, Hyperbolic evolution equations, Lorentzian holonomy, and Riemannian generalised Killing spinors, J. Geom. Anal. 29, no. 1, (2019) pp 33-82 [1702.01951]
- Oliver Baues Wolfgang Globke Abdelghani Zeghib, Isometry Lie algebras of indefinite homogeneous spaces of finite volume, Proc. L.M.S. 119 no. 4 (2019) 1115 - 1148..
- D. Burde, W. Globke, A. Minchenko, Etale representations for reductive algebraic groups with factors Sp(n) or SO(n), Transformation Groups 24 no. 3 (2019) 769 - 780. [1706.08735]
- S. G. Barwick, Ruled quintic surfaces in PG(6,q), Innovations in Incidence Geom. 17 (2019), No. 1, 25-41
- S. G. Barwick and Wen-Ai Jackson, The exterior splash in PG(6,q): transversals, Innovations in Incidence Geom. 17 (2019), No. 1, 1-24
- D. Baraglia and Z. Huang, Special Kahler geometry of the Hitchin system and topological recursion, Adv. Theor. Math. Phys. 23 no. 8 (2019) 1981-2024.
- D. Baraglia, Obstructions to smooth group actions on 4-manifolds from families Seiberg-Witten theory, Adv. Math. 354, (2019) 106730
- D. Baraglia and L. Schaposnik, Cayley and Langlands type correspondences for orthogonal Higgs bundles, Trans. Amer. Math. Soc. 371 no. 10, (2019) 7451-7492.
- D. Baraglia, M. Kamgarpour, R. Varma, Complete integrability of the parahoric Hitchin system, Int. Math. Res. Not. 2019, no. 21, (2019), Pages 6499-6528,
- K. Gomi and G.C. Thiang, Crystallographic bulk-edge correspondence: glide reflections and twisted mod 2 indices, Lett. Math. Phys. 109, no. 4 (2019) 857-904.. Free access [1804.03945]
- K. Gomi, G.C. Thiang, Crystallographic T-duality, J. Geom. Phys. 139 (2019), 50-77. Free access
- K. Yamamoto, G. C. Thiang, P. Pirro, K-W. Kim, K. Everschor-Sitte, E. Saitoh, Topological characterization of classical waves: The topological origin of magnetostatic surface spin waves, Phys. Rev. Lett. 122, 217201 (2019).
- Alex Chi-Kwong Fok, Equivariant formality in K-theory, New York J. Math. 25 (2019) 315-327. [1704.04796]
- Johnny Lim, Analytic Pontryagin duality, J. Geom. Phys. 145 (2019) 103483
- M. Ludewig, Strong short-time asymptotics and convolution approximation of the heat kernel. Ann. Global Anal. Geom. 55 no. 2 (2019) 371-394.
- L. Lane-Harvard, S. E. Payne, T. Penttila, Strongly regular graphs from large arcs in affine planes. Congr. Numer. 233 (2019), 165–174.
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Refereed publications (2018)
- M-T. Benameur, V. Mathai, Gap-labelling conjecture with non-zero magnetic field, Adv. Math. 325, (2018) 116-164, [1508.01064]
- V. Mathai, G. Thiang, P. Hekmati, H. Bursztyn, P. Bouwknegt, D. Baraglia, (Editors) String geometries, Dualities and Topological Matter, Special Issue of J. Geom. Phys., 132 (2018) 306 pp.
- V. Mathai and J. Rosenberg, Group dualities, T-dualities, and twisted K-theory, J. Lond. Math. Soc., 97, no. 1 (2018) 1-23, Free Access [1603.00969]
JLMS certificate - A. Linshaw and V. Mathai, T-duality of singular spacetime compactifications in an H-flux, J. Geom. Phys., 129, no. 7 (2018) 269-278, Free Access [1710.09927]
- K. Hannabuss, V. Mathai, G. C. Thiang, T-duality simplifies bulk-boundary correspondence: the noncommutative case, Lett. Math. Phys., 108, no. 5 (2018) 1163-1201, Free access [1603.00116]
- Fei Han and V. Mathai, T-duality in an H-flux: exchange of momentum and winding, Commun. Math. Phys., 363, no. 1 (2018) 333-350. [1710.07274]
- P.Bouwknegt, J.Evslin and V. Mathai, Spherical T-duality and the spherical Fourier-Mukai transform, J. Geom. Phys., 133 (2018), 303-314, [1502.04444]
- P. Hochs and H. Wang, Shelstad's character identity from the point of view of index theory, Bull. London Math. Soc., 50,no. 5 (2018) 759-771, [1711.00992].
- P. Hochs and H. Wang, A fixed point theorem on noncompact manifolds, Ann. K-theory, 3 no. 2 (2018), 235-286 [1512.07812]
- P. Hochs and Y. Song, An equivariant index for proper actions II: properties and applications, J. Noncommut. Geom., 12, no. 1 (2018) 157-193. [1602.02836]
- P. Hochs and H. Wang, A fixed point formula and Harish-Chandra's character formula, Proc. London Math. Soc., 116, no. 1, (2018), 1-32, [1701.08479].
- P. Hochs, J. Kaad and A. Schemaitat, Algebraic K-theory and a semi-finite Fuglede-Kadison determinant, Ann. K-theory, 3 no. 2 (2018), 193-206 [1608.07395]
- F. Kutzschebauch, F. Larusson, and G. W. Schwarz, An equivariant parametric Oka principle for bundles of homogeneous spaces, Math. Ann. 370, no. 1-2, (2018) 819-839
- F. Forstneric and F. Larusson, The Oka principle for holomorphic Legendrian curves in C^{2n+1}, Math. Zeit. 288, no. 1-2 (2018) 643-663
- T. Leistner and H. Baum, Lorentzian Geometry: Holonomy, Spinors, and Cauchy Problems, in Geometric Flows and the Geometry of Space-time, edited by Vicente Cortes, Klaus Kroncke and Jan Louis, vol 2 in Tutorials, Schools, and Workshops in the Mathematical Sciences, Birkhauser/Springer, 2018, pp 1-76.
- M. Eastwood, A geometric proof of the Poincare-Birkhoff-Witt Theorem. Sao Paulo J. Math. Sci. 12 (2018), no. 2, 246-251.
- M. Eastwood and A. Gover, Volume growth and puncture repair in conformal geometry. J. Geom. Phys. 127 (2018), 128-132.
- M. Eastwood, J. Slovak, Calculus on symplectic manifolds. Arch. Math. (Brno) 54 (2018), no. 5, 265-280.
- D. Stevenson, Stability for inner fibrations revisited, Theory Appl. Categ. 33, (2018), No. 19, 523-536 pp.
- O. Baues, W. Globke, Rigidity of compact pseudo-Riemannian homogeneous spaces for solvable Lie groups, Int. Math. Res. Not. 2018 no. 10, (2018) 3199-322 [arXiv:1507.02575]
- D. Baraglia, M. Kamgarpour, On the image of the parabolic Hitchin map, Q. J. Math. 69, no. 2, (2018) 681-708
- D. Baraglia, I. Biswas, L. Schaposnik, Brauer group of moduli of Higgs bundles and connections, pp 387-399, in Geometry and Physics: Volume 2: A Festschrift in Honour of Nigel Hitchin, edited by J.E. Andersen, A. Dancer, O. Garcia-Prada, Oxford University Press (2018).
- D. Baraglia, Monodromy of the SL(n) and GL(n) Hitchin fibrations, Math. Ann. 370, no.3-4, (2018) 1681-1716.
- D. Baraglia, L. Schaposnik, Monodromy of rank 2 twisted Hitchin systems and real character varieties. Trans. Amer. Math. Soc. 370 (2018), 5491-5534.
- R. Ponge, H. Wang, Noncommutative geometry and conformal geometry I. Local index formula and conformal invariants. J. Noncommut. Geom. 12 no.4 (2018) 1573-1639. [1411.3701]
- J. Carlson and Alex Chi-Kwong Fok, Equivariant formality of isotropy actions, J. Lond. Math. Soc. 97 no. 3 (2018) 470-494
- Alex Chi-Kwong Fok, Equivariant twisted Real K-theory of compact Lie groups, J. Geom. Phys. 124 (2018) 325-349. [1503.00957]
- D.M. Roberts, R. Vozzo, Smooth loop stacks of differentiable stacks and gerbes, Cah. Topol. Geom. Differ. Categ. , Volume LIX no. 2 (2018) 95-141 [1602.07973]
- N. Buchdahl, A. Teleman, M. Toma, On the Donaldson-Uhlenbeck compactification of instanton moduli spaces on class VII surfaces. Q. J. Math. 69 (2018), no. 4, 1423-1473.
- J. Bamberg, T. Harris, T. Penttila, On abstract ovals with Pascalian secant lines. J. Group Theory 21 (2018), no. 6, 1051–1064.
- A. L. Gavrilyuk, I. Matkin, T. Penttila, Derivation of Cameron-Liebler line classes. Des. Codes Cryptogr. 86 (2018), no. 1, 231–236.
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Refereed publications (2017)
- V. Mathai and R.B. Melrose, Geometry of Pseudodifferential algebra bundles and Fourier Integral Operators, Duke Math. J., 166 no.10 (2017) 1859-1922, [1210.0990]
- V. Mathai and G. C. Thiang, Differential topology of semimetals, Commun. Math. Phys., 355, no. 2,(2017) 561-602. [1611.08961]
- V. Mathai and G. C. Thiang, Global topology of Weyl semimetals and Fermi arcs, J. Phys. A: Math. Theor. (Letter) 50 no. 11 (2017) 11LT01, 11pp Free Access [1607.02242]
publicity at JPhys+, Highlights Certificate - P. Hochs, V. Mathai, Quantising proper actions on Spinc-manifolds, Asian J. Math., 21 no. 4 (2017) 631-686, [1408.0085]
- P. Hochs and Y. Song, An equivariant index for proper actions I, J. Funct. Anal., 272 no. 2, (2017) 661-704 [1512.07575]
- P. Hochs and Y. Song, Equivariant indices of Spinc-Dirac operators for proper moment maps, Duke Math. J., 166, no. 6 (2017), 1125-1178, [1503.00801].
- P. Hochs and Y. Song, On the Vergne conjecture, Arch. Math., 108, no. 1 (2017) 99-112 [1509.02425].
- M. Murray, D. M. Roberts, C. Wockel, Quasi-periodic paths and a string 2-group model from the free loop group, J. Lie Theory, 27 (2017), No. 4, 1151-1177. [arXiv:1702.01514]
- M. Murray, D. M. Roberts, D. Stevenson, R. Vozzo, Equivariant bundle gerbes, Adv. Theor. Math. Phys., 21 (2017) no. 4, 921 - 975. [arXiv:1506.07931]
- D. Stevenson, Covariant model structures and simplicial localization, North-Western Eur. J. Math., 2017; 3:141-202
- A. Alarcon, F. Larusson, Representing de Rham cohomology classes on an open Riemann surface by holomorphic forms, Int. J. Math. 28 no. 9 (2017) 1740004, 12pp.
- F. Larusson and T. Truong, Algebraic subellipticity and dominability of blow-ups of affine spaces, Doc. Math. 22 (2017) 151-163.
- F. Kutzschebauch, F. Larusson, and G. W. Schwarz, Homotopy principles for equivariant isomorphisms, Trans. Amer. Math. Soc. 369 (2017), no. 10, 7251-7300.
- F. Kutzschebauch, F. Larusson, and G. W. Schwarz, Sufficient conditions for holomorphic linearisation, Transform. Groups 22, no. 2 (2017) 475-485.
- T. Leistner, P. Nurowski and K. Sagerschnig, New relations between G_2-geometries in dimensions 5 and 7, Int. J. Math. 28, no. 13, 1750094 (2017) 46 pp. [1601.03979]
- T. Leistner and A. Lischewski, The ambient obstruction tensor and conformal holonomy, Pac. J. Math. 290 (2017), No. 2, 403-436 [1511.07214]
- S. Barwick, W-A. Jackson, Hyper-reguli in PG(5,q). J. Geom. 108 (2017), no. 3, 1083-1084.
- S. Barwick, W-A. Jackson, The exterior splash in PG(6, q): carrier conics. Adv. Geom. 17 (2017), no. 4, 407-422.
- S. Barwick, W-A. Jackson, T. Penttila, New families of strongly regular graphs. Australas. J. Combin. 67 (2017), 486-507.
- W. Globke, Y. Nikolayevsky, Compact pseudo-Riemannian homogeneous Einstein manifolds of low dimension, Differ. Geom. Appl. 54, Part B (2017) 475-489
- D. Burde, W. Globke, Etale representations for reductive algebraic groups with one-dimensional center, J. Algebra, 487, 2017, 200-216.
- D. Baraglia; P. Hekmati, Arithmetic of singular character varieties and their E-polynomials, Proc. London Math. Soc. 114 no. 2 (2017) 293-332. [1602.06996]
- K. F. Chao and H. Wang: Langlands Functorality in K-theory for $C^*$-algebras. I. Base Change, J. Noncommut. Geom. 11 no. 11 (2017) 1001-1036.
- Tuyen Trung Truong, Automorphisms of blowups of threefolds being Fano or having Picard number 1, Ergodic Theory Dyn. Syst., 37, no. 7 (2017) 2255-2275 [1501.01515]
- Tuyen Trung Truong, Comments on Sampson's approach toward Hodge conjecture on Abelian varieties, Ann. Mat. Pura Appl. 196, No. 2, (2017) 533-538. [1409.0495]
- G.C. Thiang, K. Sato, K. Gomi, Fu-Kane-Mele monopoles in semimetals, Nuc. Phys. B, Section B 923C (2017) pp. 107-125. [arXiv:1705.06657]
- N. Buchdahl, A. Teleman and M. Toma, A continuity theorem for families of sheaves on complex surfaces. J. Topol. 10 (2017), no. 4, 995-1028.
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Refereed publications (2016)
- K. Hannabuss, V. Mathai, G. C. Thiang, T-duality trivializes bulk-boundary correspondence: the parametrised case, Adv. Theor. Math. Phys., 20 no. 5 (2016) 1193-1226, [1510.04785]
- V. Mathai, G.C. Thiang, T-duality simplifies bulk-boundary correspondence: some higher dimensional cases, Ann. Henri Poincare, 17 no. 12 (2016) 3399-3424, [1506.04492]
- V. Mathai, G.C. Thiang, T-duality simplifies bulk-boundary correspondence, Commun. Math. Phys., 345 no. 2, (2016) 675-701 , [1505.05250]
- P. Hochs, V. Mathai, Spin manifolds and proper group actions, Adv. Math., 292 (2016) 1-10, [1411.0781]
- P. Hochs, V. Mathai, Formal geometric quantisation for proper actions, J. Homotopy Relat. Struct. 11, no.3, (2016) 409-424, [1403.6542]
- P. Hochs and Y. Song, An equivariant index for proper actions III: the invariant and discrete series indices, Differ. Geom. Appl. 49 (2016) 1-22.
- M. Dunajski and M.G. Eastwood, Metrisability of three-dimensional path geometries, Eur. Jour. Math, 2, no. 3 (2016) 809-834
- M.G. Eastwood and K. Neusser, A canonical connection on sub-Riemannian contact manifolds. Arch. Math. (Brno) 52 (2016), no. 5, 277-289.
- R. Larkang and F. Larusson, Extending holomorphic maps from Stein manifolds into affine toric varieties, Proc. Amer. Math. Soc. 144 (2016) 4613-4626. .
- W. Globke, T. Leistner, Locally homogeneous pp-waves, J. Geom. Phys., 108 (2016) 83-101
- H. Baum, T. Leistner and A. Lischewski, Cauchy problems for Lorentzian manifolds with special holonomy, Differ. Geom. Appl., 45 (2016) 43-66, [arxiv:1411.3059]
- T. Leistner and D. Schliebner, Completeness of compact Lorentzian manifolds with Abelian holonomy, Math. Ann. 364, no. 3, (2016) 1469-1503, [1306.0120].
- S. Barwick and W. Jackson; Characterising pointsets in PG(4,q) that correspond to conics. Des. Codes Cryptogr. 80 (2016), no. 2, 317-332.
- S. Barwick and W. Jackson, Exterior splashes and linear sets of rank 3. Discrete Math. 339 (2016), no. 5, 1613-1623
- P. Hekmati, J. Mickelsson, Projective Families of Dirac Operators on a Banach Lie Groupoid, J. Noncommut. Geom., 10, no. 1, (2016) 1-23. [1404.1754]
- D. Baraglia; P. Hekmati, Moduli Spaces of Contact Instantons, Adv.Math., 294 (2016) pp. 562-595.
- D. Baraglia; Classification of the automorphism and isometry groups of Higgs bundle moduli spaces, Proc. London Math. Soc. 112 no. 3 (2016), no. 5, 827-854. [1411.2228]
- D. Baraglia; I. Biswas; L. Schaposnik, Automorphisms of C*-moduli spaces associated to a Riemann surface. SIGMA Symmetry Integrability Geom. Methods Appl. 12 (2016), 007, 14 pages.
- D. Baraglia, L. P. Schaposnik, Real structures on moduli spaces of Higgs bundles, Adv. Theor. Math. Phys. 20 no. 3 (2016) 525-551. [1309.1195]
- D. M. Roberts, D. Stevenson, Simplicial principal bundles in parameterized spaces, New York J. Math. 22 (2016) 405-440. [1203.2460]
- D. M. Roberts, A bigroupoid's topology (or, Topologising the homotopy bigroupoid of a space). J. Homotopy Relat. Struct. 11, no.4, (2016) 923–942, [1302.7019]
- D. M. Roberts, On certain 2-categories admitting localisation by bicategories of fractions, Appl. Categor. Struct., 24 no. 4 (2016) 373-384. [1402.7108]
- V. Bardakov, S. Jablan, H. Wang, Monoid and group of pseudo braids. J. Knot Theory Ramifications 25 (2016), no. 9, 1641002, 13 pp.
- B.L. Wang and H. Wang, Localized Index and $L^2$-Lefschetz fixed point formula for orbifolds, J. Diff. Geom. , 102 no.2, (2016) 285 - 349. [1307.2088].
- R. Ponge, H. Wang, Index map, $\sigma$-connections, and Connes-Chern character in the setting of twisted spectral triples. Kyoto J. of Math. 56, no. 2 (2016), 347-399. [1310.6131]
- R. Ponge, H. Wang, Noncommutative geometry and conformal geometry II. Connes-Chern character and the local equivariant index theorem. J. Noncommut. Geom. 10, no. 1, (2016) 303-374. [1411.3703]
- Guo Chuan Thiang, On the K-theoretic classification of topological phases of matter, Ann. Henri Poincare 17, no. 4,(2016) 757-794, [1406.7366]
- Tuyen Trung Truong, Some dynamical properties of pseudo-automorphisms in dimension 3, Trans. Amer. Math. Soc. 368 (2016), no 1, 727-753.
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Refereed publications (2015)
- V. Mathai and Guo Chuan Thiang, T-duality and topological insulators, J. Phys. A: Math. Theor. (Fast Track Communication) 48 (2015) no.42, 42FT02, 10pp, [1503.01206]
publicity at IOPSCIENCE - M-T. Benameur and V. Mathai, Spectral sections, twisted rho invariants and positive scalar curvature, J. Noncommut. Geom., 9, no. 3, (2015) 821-850, [1309.5746]
- A. Linshaw and V. Mathai, Twisted Chiral De Rham Complex, Generalized Geometry, and T-duality, Commun. Math. Phys., 339, No. 2, (2015) 663-697, [1412.0166]
- V.Mathai and H.Sati, Higher abelian gauge theory associated to gerbes on noncommutative deformed M5-branes and S-duality, J. Geometry and Physics 92 (2015) 240-251, [1404.2257]
- P.Bouwknegt, J.Evslin and V.Mathai, Spherical T-duality, Commun. Math. Phys., 337, No. 2, (2015) 909-954. [1405.5844]
- P.Bouwknegt, J.Evslin and V.Mathai, Spherical T-duality II: An infinity of spherical T-duals for non-principal SU(2)-bundles, J. Geometry and Physics, 92 (2015) 46-54, [1409.1296]
- F. Han, V. Mathai, Exotic twisted equivariant cohomology of loop spaces, twisted Bismut-Chern character and T-duality, Commun. Math. Phys. 337, No. 1, (2015) 127-150. [1405.1320]
- P. Hochs, V. Mathai, Geometric quantization and families of inner products, Adv. Math. 282 (2015) 362-426, [1309.6760]
- P. Hochs, Quantisation of presymplectic manifolds, K-theory and group representations, Proc. Amer. Math. Soc. 143 (2015), 2675-2692 [1211.0107]
- P. Baird and M.G. Eastwood, On functions with a conjugate, Ann. Inst. Fourier 65 (2015) 277-314.
- F. Larusson, Absolute neighbourhood retracts and spaces of holomorphic maps from Stein manifolds to Oka manifolds, Proc. Amer. Math. Soc. 143 (2015) 1159-1167. [1306.4390]
- F. Kutzschebauch, F. Larusson, and G.W. Schwarz, An Oka principle for equivariant isomorphisms, J. fur die reine und angewandte Mathematik (Crelle's J.) 706 (2015), 193-214. [1303.4779]
- T. Nikolaus, U. Schreiber and D. Stevenson, Principal ∞-Bundles - General Theory, J. Homotopy Relat. Struct. 10, (2015) no. 4, 749-801
- T. Nikolaus, U. Schreiber and D. Stevenson, Principal ∞-Bundles - Present ations, J. Homotopy Relat. Struct. 10, (2015) no. 3, 565-622
- S. Barwick and Wen-Ai Jackson, An investigation of the tangent splash of a subplane of PG(2,q3). Des. Codes Cryptogr. 76 (2015), no. 3, 451-468.
- S. Barwick and Wen-Ai Jackson, A characterization of translation ovals in finite even order planes. Finite Fields Appl. 33 (2015), 37-52. [1305.6673]
- S. Barwick and Wen-Ai Jackson, The tangent splash in PG(6,q). Discrete Math. 338 (2015), no. 7, 1178-1190. [1305.6674]
- A. Hanysz, Holomorphic flexibility properties of the space of cubic rational maps, J. Geom. Analysis, 25, No. 3, (2015) 1620-1649. [1211.0765]
- D. Baraglia, Topological T-duality for torus bundles with monodromy, Rev. Math. Phys. 27, No. 3 (2015), 1550008, 55 pages [1201.1731]
- D. Baraglia, Cyclic Higgs bundles and the affine Toda equations, Geometriae Dedicata, 174 (2015), pp 25-42. [1011.6421]
- D. Baraglia, P. Hekmati, Transitive Courant Algebroids, String Structures and T-duality, Adv. Theor. Math. Phys. 19 (2015) 613-672. [1308.5159]
- D. Baraglia; P. Hekmati, A Fourier-Mukai approach to the K-theory of compact Lie groups. Adv. Math., 269 (2015), 335-345. [1406.3993]
- P. Hekmati, M. K. Murray, V. S. Schlegel, R. F. Vozzo, A Geometric Model for Odd Differential K-theory, Diff. Geom. and applications, 40 (2015) 123-158, [1309.2834]
- D. M. Roberts, A topological fibrewise fundamental groupoid, Homology, Homotopy and Applications, 17 No. 2 (2015) 37-51 [1411.5779]
- D. M. Roberts, The weak choice principle WISC may fail in the category of sets, Studia Logica 103, No. 5, (2015) 1005-1017. [1311.3074].
- R. Ponge, H. Wang, Noncommutative geometry and conformal geometry III: Vafa-Witten inequality and Poincare duality. Adv. Math., 272 (2015) 761-819. [1310.6138].
- Andrew Hassell and Melissa Tacy, Improvement of eigenfunction estimates on manifolds of nonpositive curvature, Forum Mathematicum. 27, no. 3 (2015) 1435-1451.
- Xiaolong Han and Melissa Tacy, Sharp norm estimates of layer potential and operators at high frequency, J. Funct. Anal., 269 (2015), no. 9, 2890-2926. [arXiv:1403.6576]
- Guo Chuan Thiang, Topological phases: isomorphism, homotopy and K-theory, Int. J. Geom. Methods Mod. Phys. 12, 1550098 (2015) 14 pp, [1412.4191]
- A. Lischewski, Conformal superalgebras via tractor calculus, Classical and Quantum Gravity, 32 no.1 (2015) 015020
- A. Lischewski, Supersymmetric gauge theory on a class of cocalibrated G 2 -structures, Classical and Quantum Gravity, 32 no.11 (2015) 115003
- A. Lischewski, Reducible conformal holonomy in any metric signature and application to twistor spinors in low dimension, Differential Geometry and its Applications, 40 (2015) Pages 252-268.
- A. Lischewski, Charged conformal Killing spinors, Journal of Mathematical Physics, 56, 013510 (2015)
- V. Mathai and Guo Chuan Thiang, T-duality and topological insulators, J. Phys. A: Math. Theor. (Fast Track Communication) 48 (2015) no.42, 42FT02, 10pp, [1503.01206]
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Refereed publications (2014)
- V. Mathai and J. Rosenberg, T-duality for circle bundles via noncommutative geometry, Adv. Theor. Math. Phys., 18, no. 6 (2014) 1437-1462, [1306.4198]
- M-T. Benameur, V. Mathai, Index type invariants for twisted signature complexes and homotopy invariance, Math. Proc. Cambridge Philos. Soc., 156 no.3 (2014) 473-503, [1202.0272]
- F. Forstneric, F. Larusson, Oka properties of groups of holomorphic and algebraic automorphisms of complex affine space, Mathematical Research Letters 21 (2014) 1047-1067.
- F. Forstneric, F. Larusson, Holomorphic flexibility properties of compact complex surfaces, Int. Math. Res. Not. (2014), no. 13, 3714-3734 [1207.4838]
- F. Larusson, T. Ritter, Proper holomorphic immersions in homotopy classes of maps from finitely connected planar domains into CxC*, Ind. U. Math. J. 63 (2014), no. 2, 367-383. [1209.4430]
- S.G. Barwick and W.-A. Jackson, A Characterisation of Tangent Subplanes of PG(2,q^3). Des. Codes Cryptogr., (2014) 71 Issue 3, 541-545, [1204.4953]
- J. Alt, A. J. Di Scala, T. Leistner, Conformal holonomy, symmetric spaces, and skew symmetric torsion, Differential Geom. Appl., 33 (2014), suppl., 4-43. [1208.2191]
- H. Baum, K. Larz, T. Leistner, On the full holonomy group of special Lorentzian manifolds, Math. Z., 277 (2014), no. 3-4, 797-828, [1204.5657]
- A. Hanysz, Oka properties of some hypersurface complements, Proc. Amer. Math. Soc. 142 (2014), 483-496. [1111.6655]
- D. Baraglia, L. P. Schaposnik, Higgs bundles and (A,B,A)-branes, Commun. Math. Phys. 331 (2014), no. 3, 1271-1300. [1305.4638]
- D. Baraglia, Variation of Hodge structure for generalized complex manifolds, Differential Geom. Appl. 36 (2014), 98-133. [1205.0240]
- D. Baraglia, Topological T-duality for general circle bundles, Pure Appl. Math. Q. 10 (2014) no. 3 pp. 367-438. [1105.0290]
- D. Baraglia, A Coboundary Morphism For The Grothendieck Spectral Sequence, Appl. Categ. Structures, 22 (2014), no. 1, 269-288. [1112.6295]
- W. Globke, On the Geometry of Flat Pseudo-Riemannian Homogeneous Spaces, Israel J. Math. 202 (2014) 255-274, [1211.1111]
- W. Globke, A Supplement to the Classification of Flat Homogeneous Spaces of Signature (m,2), New York J. Math., 20 (2014) 441-446 [1312.2210]
- H. Wang, L^2-index formula for proper cocompact group actions, J. Noncommutative Geometry, 8(2), 2014, 393-432.
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Refereed publications (2013)
- M-T. Benameur, V. Mathai, Conformal invariants of twisted Dirac operators and positive scalar curvature, J. Geom. Phys, 70 (2013) 39-47, [1210.0301] Erratum
- R. Dey, V. Mathai, Holomorphic Quillen determinant line bundles on integral compact Kahler manifolds, The Quarterly J. Math., Quillen memorial issue, 64 (2013), 785-794, [1202.5213]
- P. Hekmati, M. K. Murray, D. Stevenson and R. Vozzo, The Faddeev-Mickelsson anomaly and lifting bundle gerbes, Commun. Math. Phys. 319 no. 2 (2013) 379-393, [1112.1752]
- J. C. Hurtubise and M. K. Murray, Loop groups and holomorphic bundles, The Quarterly J. Math., 64, no. 1 (2013) 189-220, [0812.3684v1]
- F. Larusson, E. A. Poletsky, Plurisubharmonic subextensions as envelopes of disc functionals, Mich. Math. J. 62 (2013), no. 3, 551-565, [1201.5875]
- D. M. Roberts The universal simplicial bundle is a simplicial group, New York J. Math. 19 (2013) 51-60 [1204.4886]
- T. Ritter, A strong Oka principle for embeddings of some planar domains into CxC*, J. Geom. Anal. 23, no. 2, (2013) 571-597, [1011.4116]
- T. Ritter, Acyclic embeddings of open Riemann surfaces into new examples of elliptic manifolds, Proc. Amer. Math. Soc. 141 (2013), 597-603, [1107.0102]
- W. Globke, Holonomy Groups of Complete Flat Pseudo-Riemannian Homogeneous Spaces, Adv. Math. 240 (2013) 88-105 [1205.3285]
- D. Baraglia, Conformal Courant algebroids and orientifold T-duality, Int. J. Geom. Methods in Modern Phys, 10, no 2 (2013), 1250084.
- D. Baraglia, Introduction to Generalized Geometry and T-duality, in Open Problems and Surveys of Contemporary Mathematics SMM 6, pp 45-97 (2013).
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Refereed publications (2012)
- P. Hekmati and V. Mathai, T-duality of current algebras and their quantization, Contemporary Mathematics, 584 (2012) 17-38, [1203.1709]
- K. Hannabuss, V. Mathai. Nonassociative strict deformation quantization of C*-algebras and nonassociative torus bundles. Lett. Math. Phys., 102 no.1, (2012) 107-123, [1012.2274]
- V. Mathai and S. Wu, Topology and Flux of T-Dual Manifolds with Circle Actions, Commun. Math. Phys. 316 (2012) 279-286. [1108.5045]
- P. Bouwknegt, V. Mathai and S. Wu, Bundle gerbes and moduli spaces, J. Geom. Phys., 62 no.1, (2012) 1-10, [1107.3687]
- P. Hekmati, M. K. Murray and R. Vozzo, The general caloron correspondence, J. Geom. Phys., 62, no.2, (2012), 224-241. [1105.0805]
- M. K. Murray, D. M. Roberts, D. Stevenson, On the existence of bibundles, Proc. London Math. Soc., 105 no. 6 (2012), 1290-1314. [1102.4388]
- F. Larusson, Deformations of Oka manifolds, Mathematische Zeitschrift, 272, No. 3-4 (2012), 1051-1058, [1106.5300]
- S.G. Barwick and D.J. Marshall. Conics and multiple derivation. Discrete Mathematics, 312 (2012) 1623--1632.
- S.G. Barwick and W.-A. Jackson. Sublines and subplanes of PG(2,q^3) in the Bruck-Bose representation in PG(6,q), Finite fields and their applications. 18 no.1 (2012) 93-107.
- T. Leistner, P. Nurowski, Conformal structures with exceptional ambient metrics, Ann. Sc. Norm. Super. Pisa Cl. Sci. XI, issue 2 (2012), 407-436, [0904.0186] .
- T. Leistner, P. Nurowski, Conformal pure radiation with parallel rays, Classical and Quantum Gravity 29 (2012) 055007 [1107.1675]
- D. M. Roberts Internal categories, anafunctors and localisations, 33 pages, Theory and Application of Categories, Vol. 26, 2012, No. 29, pp 788-829 [1101.2363]
- O. Baues and W. Globke, Flat pseudo-Riemannian homogeneous spaces with non-abelian holonomy group, Proc. Amer. Math. Soc. 140 (2012), 2479-2488.
- D. Baraglia, Leibniz algebroids, twistings and exceptional generalized geometry, J. Geom. Phys. 62 (2012) 903-934.
- D. Baraglia, Topological T-duality with monodromy, Proceedings of Symposia in Pure Mathematics, 85 (2012), 293-302.
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Refereed publications (2011)
- V. Mathai and S.Wu, Analytic torsion for twisted de Rham complexes, J. Differential Geometry, 88 (2011) 297-332, [0810.4204]
- S. Mahanta, V. Mathai, Operator algebra quantum homogeneous spaces of universal gauge groups, Lett. Math. Phys., 97 (2011) 263-277, [1012.5893]
- K. Hannabuss, V. Mathai. Parametrised strict deformation quantization of C*-bundles and Hilbert C*-modules, J. Aust. Maths. Soc. 90 no. 01 (2011) 25-38. [1007.4696]
- V. Mathai, Siye Wu, Analytic torsion of Z2-graded elliptic complexes, Contemporary Mathematics, 546 (2011) 199-212. [1001.3212]
- V. Mathai and J. Rosenberg, A noncommutative sigma-model, J. Noncommutative Geometry, 5 no 2 (2011) 265-294, [0903.4241]
- M. K. Murray, D. Stevenson, A note on bundle gerbes and infinite-dimensionality, J. Aust. Maths. Soc. 90 no. 01 (2011) 81-92, [1007.4922]
- S.G. Barwick, C.T. Quinn and W.-A. Jackson. Conics and caps, J. Geom. 100 (2011) 15-28.
- F. Forstneric, F. Larusson, Survey of Oka theory, New York J. of Math. 17a (2011), 1-28. [1009.1934]
- T. Leistner, A. J. Di Scala, Connected subgroups of SO(2,n) acting irreducibly on $\mathbb{R}^{2,n}$, Israel Journal of Mathematics, 182 (2011), 103-121. [0806.2586]
- V. Cortes, T. Leistner, L. Schafer, F. Schulte-Hengesbach, Half-flat Structures and Special Holonomy, Proceedings of the London Mathematical Society (3) 102 (2011) 113-158, [0907.1222] .
- R. Vozzo, Universal string classes and equivariant cohomology, J. Aust. Maths. Soc. 90 no. 01 (2011) 109-127. [1005.4243]
- S. Mahanta, Higher nonunital Quillen K'-theory, KK-dualities and applications to topological T-dualities, J. Geom. Phys. 61 (2011) 875-889.
- A. De Sole, P. Hekmati, V. Kac, Calculus structure on the Lie conformal algebra complex and the variational complex, J. Math. Phys. 2 053510 (2011), 35 pages [1007.3707].
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Refereed publications (2010)
- V. Mathai, W. Zhang, Geometric quantization for proper actions, Advances in Mathematics, 225 no.3 (2010) 1224--1247 [0806.3138v2]
- K. Hannabuss, V. Mathai, Noncommutative principal torus bundles via parametrised strict deformation quantization, AMS Proceedings of Symposia in Pure Mathematics, 81 (2010) 133-148, [0911.1886]
- V. Mathai, S. Wu, Twisted Analytic Torsion, Science China Mathematics, 53 no. 3 (2010) 555-563 [0912.2184]
- P. Bouwknegt, K. Hannabuss, V. Mathai, C*-algebras in tensor categories, Clay Mathematics Proceedings, 12 (2010) 127-165. [math.QA/0702802]
- M. K. Murray, An Introduction to Bundle Gerbes, in "The Many Facets of Geometry: A Tribute to Nigel Hitchin", Edited by Oscar Garcia-Prada, Jean Pierre Bourguignon, Simon Salamon, Oxford University Press (2010) 237-260, [0712.1651v3]
- M. K. Murray and R. Vozzo, The caloron correspondence and higher string classes for loop groups, J. Geometry and Physics, 60, no. 9 (2010) 1235-1250, [0911.3464]
- M. K. Murray and R. Vozzo, Circle actions, central extensions and string structures, International Journal of Geometric Methods in Modern Physics 7, no. 6 (2010) 1065-1092, [1004.0779]
- F. Larusson, What is an Oka manifold? Notices of the American Mathematical Society, 57 (2010) 50-52.
- F. Larusson, Applications of a parametric Oka principle for liftings, in Complex Analysis, pages 205-211, a refereed volume in honour of Linda P. Rothschild, Trends in Mathematics series, Birkhauser, 2010. [0901.4388]
- A. Galaev, T. Leistner, On the local structure of Lorentzian Einstein manifolds with parallel null line, Classical and Quantum Gravity 27 (2010) 225003 (16pp) [0912.3400] .
- T. Leistner, P. Nurowski, Ambient metrics for $n$-dimensional $pp$-waves, Commun. Math. Phys., 296, no. 3 (2010) 881-898. [0810.2903]
- A. Galaev, T. Leistner, Recent developments in pseudo-Riemannian holonomy theory, in Handbook of Pseudo Riemannian Geometry, Institut de Recherche Mathematique Avancee Lectures in Mathematics and Theoretical Physics, Vol. 16 (2010): 581-629.
- A. J. Di Scala, T. Leistner, T. Neukirchner, Geometric applications of irreducible representations of Lie groups, in Handbook of Pseudo Riemannian Geometry, Institut de Recherche Mathematique Avancee Lectures in Mathematics and Theoretical Physics, Vol. 16 (2010): 629-652. [math/0507047]
- P. Hekmati, Integrability Criterion for Abelian Extensions of Lie Groups, Proc. Amer. Math. Soc. 138 (2010), 4137-4148, [0611431] .
- P. Hekmati and J. Mickelsson, Fractional Loop Group and Twisted K-theory, Commun. Math. Phys. 299 (2010), no. 3, 741-763, [0801.2522].
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Refereed publications (2009)
- V. Mathai, R.B. Melrose, I.M. Singer, The index of projective families of elliptic operators: the decomposable case, Asterisque, 328 (2009) 255-296, [0809.0028]
- P. Bouwknegt, V. Mathai, T-Duality as a Duality of Loop Group Bundles, J. Physics A: Math. Theor. (Fast Track Communications), 42 no.16 (2009) 162001, 8 pages, [0902.4341]
- R. Green, V. Mathai, Harmonic Cheeger-Simons characters with applications, J. Geometry and Physics, 59 no.5 (2009) 663-672. [0803.1874]
- P. Chakraborty, V. Mathai, The geometry of determinant line bundles in noncommutative geometry, J. Noncommutative Geometry, 3 no.4 (2009) 559-578. [0804.3232v2]
- J. Brodzki, V. Mathai, J. Rosenberg, R. Szabo, Noncommutative correspondences, duality and D-branes in bivariant K-theory, Advances in Theoretical and Mathematical Physics, 13 no. 2 (2009) 497-552. [0708.2648]
- F. Larusson, Affine simplices in Oka manifolds, Documenta Mathematica, 14 (2009) 691-697, [0905.0532]
- F. Larusson, R. Sigurdsson, Siciak-Zahariuta extremal functions, analytic discs and polynomial hulls, Math. Annalen, 345 (2009) 159-174. [0808.3304v1]
- F. Larusson, R. Shafikov, Schlicht envelopes of holomorphy and foliations by lines, J. Geometric Analysis, 19 (2009) 373-389.
- D.K. Butler and S.G. Barwick. A characterizations of the lines external to a quadric cone of PG(3,q), q odd. Innovations in Incidence Geometry, 8 (2009) 39-48.
- S.G. Barwick and D.K. Butler. A Characterisation of the Lines External to an Oval Cone in PG(3,q), q even. J. Geometry, 93 (2009), no. 1-2, 21--27.
- S.G. Barwick and D.J. Marshall. Unitals and Replaceable t-nests. Aust. J. Combin., 43 (2009), 115--126..
- D. V. Alekseevsky, V. Cortes, A. Galaev and T. Leistner, Cones over semi-Riemannian manifolds and their holonomy, Journal fur die reine und angewandte Mathematik (Crelle's Journal) , 635 (2009), 23-69. [0707.3063]
- G. Brown, F. Moricz, Z. Safar, Formal differentiation of absolutely convergent Fourier series and classical function classes. Acta Sci. Math. (Szeged), 75 (2009), no. 1-2, 161--173.