Edit Profile (opens in new tab) Mathai, Varghese Co-Author Distance Author ID: mathai.varghese Published as: Mathai, Varghese; Mathai, V. Homepage: https://researchers.adelaide.edu.au/profile/mathai.varghese External Links: MGP · ORCID · Wikidata · Google Scholar · ResearchGate · dblp Documents Indexed: 135 Publications since 1986, including 10 Additional arXiv Preprints 3 Contributions as Editor Biographic References: 1 Publication Co-Authors: 57 Co-Authors with 123 Joint Publications 1,581 Co-Co-Authors all top 5 Co-Authors 14 single-authored 14 Bouwknegt, Peter G. 12 Carey, Alan L. 11 Hannabuss, Keith C. 10 Han, Fei 10 Rosenberg, Jonathan Micah 9 Thiang, Guo Chuan 7 Hochs, Peter 6 Benameur, Moulay-Tahar 6 Dodziuk, Jozef 6 Evslin, Jarah 6 Guo, Hao 6 Wu, Siye 6 Yates, Stuart G. 5 Melrose, Richard Burt 4 Marcolli, Matilde 4 Stevenson, Danny 3 Brodzki, Jacek 3 Farber, Michael S. 3 Linshaw, Andrew Ross 3 Shubin, Mikhail Aleksandrovich 3 Singer, Isadore Manuel 3 Szabo, Richard J. 2 Hekmati, Pedram 2 Mahanta, Snigdhayan 2 Sati, Hisham 2 Schick, Thomas 2 Wilkin, Graeme 2 Yu, Guoliang 2 Zhang, Weiping 1 Baraglia, David 1 Block, Jonathan L. 1 Braverman, Maxim 1 Brook, David 1 Bursztyn, Henriques 1 Chakraborty, Partha Sarathi 1 Coulhon, Thierry 1 Crilly, Jaklyn 1 Dey, Rukmini 1 Fok, Chi-Kwong 1 Hallam, Michael 1 Higson, Nigel 1 Huang, Ruizhi 1 Jurčo, Branislav 1 Kordyukov, Yuri A. 1 Landi, Giovanni 1 Linnell, Peter Arnold 1 MacDonald, Lachlan Ewen 1 McCann, Paul J. 1 Mishchenko, Aleksandr Sergeevich 1 Murray, Michael K. 1 Phillips, John 1 Quillen, Daniel Gray 1 Roberts, David Michael 1 Rothenberg, Melvin G. 1 Saratchandran, Hemanth 1 Wang, Hang 1 Weinberger, Shmuel all top 5 Serials 20 Communications in Mathematical Physics 14 Journal of Geometry and Physics 10 Journal of Functional Analysis 8 Advances in Theoretical and Mathematical Physics 6 Advances in Mathematics 5 Letters in Mathematical Physics 5 Journal of Noncommutative Geometry 4 Proceedings of the American Mathematical Society 4 Journal of Physics A: Mathematical and Theoretical 3 Journal of Differential Geometry 2 Geometriae Dedicata 2 Journal für die Reine und Angewandte Mathematik 2 Communications in Contemporary Mathematics 2 Annals of \(K\)-Theory 1 Communications on Pure and Applied Mathematics 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Reviews in Mathematical Physics 1 Annales de l’Institut Fourier 1 Bulletin of the London Mathematical Society 1 Canadian Journal of Mathematics 1 Duke Mathematical Journal 1 Journal of the London Mathematical Society. Second Series 1 Topology 1 Transactions of the American Mathematical Society 1 Annals of Global Analysis and Geometry 1 Journal of Physics A: Mathematical and General 1 Russian Journal of Mathematical Physics 1 Bulletin des Sciences Mathématiques 1 The Asian Journal of Mathematics 1 Geometry & Topology 1 Journal of High Energy Physics 1 Annales Henri Poincaré 1 The Quarterly Journal of Mathematics 1 Physical Review Letters 1 Journal of the Australian Mathematical Society 1 Journal of Geometry and Symmetry in Physics 1 Journal of Homotopy and Related Structures 1 Science China. Mathematics all top 5 Fields 76 Global analysis, analysis on manifolds (58-XX) 62 Quantum theory (81-XX) 41 Functional analysis (46-XX) 37 Differential geometry (53-XX) 33 \(K\)-theory (19-XX) 23 Manifolds and cell complexes (57-XX) 14 Algebraic topology (55-XX) 10 Relativity and gravitational theory (83-XX) 9 Statistical mechanics, structure of matter (82-XX) 7 Algebraic geometry (14-XX) 7 Topological groups, Lie groups (22-XX) 7 Operator theory (47-XX) 3 General and overarching topics; collections (00-XX) 3 Category theory; homological algebra (18-XX) 3 Partial differential equations (35-XX) 2 Nonassociative rings and algebras (17-XX) 2 Functions of a complex variable (30-XX) 2 Difference and functional equations (39-XX) 2 Convex and discrete geometry (52-XX) 1 History and biography (01-XX) 1 Number theory (11-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Associative rings and algebras (16-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Abstract harmonic analysis (43-XX) 1 Mechanics of particles and systems (70-XX) 1 Optics, electromagnetic theory (78-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 112 Publications have been cited 1,520 times in 825 Documents Cited by ▼ Year ▼ Superconnections, Thom classes, and equivariant differential forms. Zbl 0592.55015 Mathai, Varghese; Quillen, Daniel 167 1986 \(T\)-duality: topology change from \(H\)-flux. Zbl 1062.81119 Bouwknegt, Peter; Evslin, Jarah; Mathai, Varghese 111 2004 Twisted \(K\)-theory and \(K\)-theory of bundle gerbes. Zbl 1036.19005 Bouwknegt, Peter; Carey, Alan L.; Mathai, Varghese; Murray, Michael K.; Stevenson, Danny 98 2002 Approximating \(L ^{2}\)-invariants and the Atiyah conjecture. Zbl 1036.58017 Dodziuk, Józef; Linnell, Peter; Mathai, Varghese; Schick, Thomas; Yates, Stuart 58 2003 Nonassociative tori and applications to \(T\)-duality. Zbl 1115.46063 Bouwknegt, Peter; Hannabuss, Keith; Mathai, Varghese 57 2006 \(T\)-duality for torus bundles with \(H\)-fluxes via noncommutative topology. Zbl 1078.58006 Mathai, Varghese; Rosenberg, Jonathan 57 2005 D-branes, \(B\)-fields and twisted \(K\)-theory. Zbl 0959.81037 Bouwknegt, Peter; Mathai, Varghese 56 2000 Topology and \(H\)-flux of \(T\)-dual manifolds. Zbl 1267.81264 Bouwknegt, Peter; Evslin, Jarah; Mathai, Varghese 38 2004 \(T\)-duality for principal torus bundles and dimensionally reduced Gysin sequences. Zbl 1129.53013 Bouwknegt, Peter; Hannabuss, Keith; Mathai, Varghese 35 2005 Kato’s inequality and asymptotic spectral properties for discrete magnetic Laplacians. Zbl 1207.81024 Dodziuk, Józef; Mathai, Varghese 33 2006 \(T\)-duality for torus bundles with H-fluxed via noncommutative topology. II: The high dimensional case and the \(T\)-duality group. Zbl 1111.81131 Mathai, Varghese; Rosenberg, Jonathan 29 2006 \(L^ 2\)-analytic torsion. Zbl 0756.58047 Mathai, Varghese 27 1992 Quantum Hall effect on the hyperbolic plane. Zbl 0916.46057 Carey, A. L.; Hannabuss, K. C.; Mathai, V.; McCann, P. 26 1998 Chern character in twisted \(K\)-theory: Equivariant and holomorphic cases. Zbl 1030.19004 Mathai, Varghese; Stevenson, Danny 24 2003 Approximating spectral invariants of Harper operators on graphs. Zbl 1041.47013 Mathai, Varghese; Yates, Stuart 23 2002 Geometric quantization for proper actions. Zbl 1211.53101 Mathai, Varghese; Zhang, Weiping 23 2010 The index of projective families of elliptic operators. Zbl 1083.58021 Mathai, Varghese; Melrose, Richard B.; Singer, Isadore M. 20 2005 D-branes, RR-fields and duality on noncommutative manifolds. Zbl 1162.58008 Brodzki, Jacek; Mathai, Varghese; Rosenberg, Jonathan; Szabo, Richard J. 20 2008 T-duality simplifies bulk-boundary correspondence. Zbl 1353.82068 Mathai, Varghese; Thiang, Guo Chuan 19 2016 Geometric quantization and families of inner products. Zbl 1325.53115 Hochs, Peter; Mathai, Varghese 19 2015 Twisted index theory on good orbifolds. I: Noncommutative Bloch theory. Zbl 0959.58035 Marcolli, Matilde; Mathai, Varghese 17 1999 \(L^ 2\)-torsion invariants. Zbl 0771.57009 Carey, Alan L.; Mathai, Varghese 17 1992 On mysteriously missing \(T\)-duals, \(H\)-flux and the \(T\)-duality group. Zbl 1121.81107 Mathai, Varghese; Rosenberg, Jonathan 16 2006 Twisted index theory on good orbifolds. II: Fractional quantum numbers. Zbl 0982.58018 Marcolli, Matilde; Mathai, Varghese 16 2001 Approximating \(L^2\) invariants of amenable covering spaces: A combinatorial approach. Zbl 0936.57018 Dodziuk, Jozef; Mathai, Varghese 15 1998 Analytic torsion for twisted de Rham complexes. Zbl 1238.58023 Mathai, Varghese; Wu, Siye 15 2011 T-duality of topological insulators. Zbl 1330.82053 Mathai, Varghese; Thiang, Guo Chuan 14 2015 Noncommutative principal torus bundles via parametrised strict deformation quantization. Zbl 1210.81062 Hannabuss, Keith C.; Mathai, Varghese 13 2010 Approximating spectral invariants of Harper operators on graphs. II. Zbl 1045.47028 Mathai, Varghese; Schick, Thomas; Yates, Stuart 13 2003 Towards the fractional quantum Hall effect: a noncommutative geometry perspective. Zbl 1105.81068 Marcolli, Matilde; Mathai, Varghese 13 2006 \(T\)-duality simplifies bulk-boundary correspondence: the parametrised case. Zbl 1359.81181 Hannabuss, Keith C.; Mathai, Varghese; Thiang, Guo Chuan 13 2016 On a generalised Connes-Hochschild-Kostant-Rosenberg theorem. Zbl 1098.19002 Mathai, Varghese; Stevenson, Danny 12 2006 Fractional analytic index. Zbl 1115.58021 Mathai, V.; Melrose, R. B.; Singer, I. M. 12 2006 Spectral flow, eta invariants, and von Neumann algebras. Zbl 0783.57015 Mathai, Varghese 12 1992 T-duality simplifies bulk-boundary correspondence: some higher dimensional cases. Zbl 1354.81065 Mathai, Varghese; Thiang, Guo Chuan 12 2016 Quantising proper actions on \(\text{Spin}^c\)-manifolds. Zbl 1381.53085 Hochs, Peter; Mathai, Varghese 12 2017 The Novikov conjecture for low degree cohomology classes. Zbl 1029.19006 Mathai, Varghese 12 2003 A noncommutative sigma-model. Zbl 1260.58004 Mathai, Varghese; Rosenberg, Jonathan 11 2011 Differential topology of semimetals. Zbl 1376.82101 Mathai, Varghese; Thiang, Guo Chuan 11 2017 Non-commutative correspondences, duality and D-branes in bivariant K-theory. Zbl 1166.81032 Brodzki, Jacek; Mathai, Varghese; Rosenberg, Jonathan; Szabo, Richard J. 10 2009 Determinant lines, von Neumann algebras and \(L^ 2\) torsion. Zbl 0872.46031 Carey, A.; Farber, M.; Mathai, V. 10 1997 Exotic twisted equivariant cohomology of loop spaces, twisted Bismut-Chern character and T-duality. Zbl 1325.57017 Han, Fei; Mathai, Varghese 10 2015 Heat kernels and the range of the trace on completions of twisted group algebras. Zbl 1122.46053 Mathai, Varghese 9 2006 Equivalence of spectral projections in semiclassical limit and a vanishing theorem for higher traces in \(K\)-theory. Zbl 1084.58010 Kordyukov, Y.; Mathai, V.; Shubin, M. 9 2005 \(K\)-theory of twisted group \(C^*\)-algebras and positive scalar curvature. Zbl 0942.46042 Mathai, Varghese 8 1999 Quantum Hall effect on the hyperbolic plane in the presence of disorder. Zbl 1055.81571 Carey, A.; Hannabuss, K.; Mathai, V. 8 1999 \(L^2\)-torsion without the determinant class condition and extended \(L^2\) cohomology. Zbl 1079.55015 Braverman, Maxim; Carey, Alan; Farber, Michael; Mathai, Varghese 8 2005 Quantum Hall effect and noncommutative geometry. Zbl 1104.81088 Carey, Alan L.; Hannabuss, Keith C.; Mathai, Varghese 8 2006 Global topology of Weyl semimetals and Fermi arcs. Zbl 1364.82063 Mathai, Varghese; Thiang, Guo Chuan 8 2017 Positive scalar curvature and Poincaré duality for proper actions. Zbl 1443.53031 Guo, Hao; Mathai, Varghese; Wang, Hang 8 2019 T-duality as a duality of loop group bundles. Zbl 1162.81409 Bouwknegt, Peter; Mathai, Varghese 7 2009 T-duality simplifies bulk-boundary correspondence: the noncommutative case. Zbl 1395.58008 Hannabuss, Keith C.; Mathai, Varghese; Thiang, Guo Chuan 7 2018 Gap-labelling conjecture with nonzero magnetic field. Zbl 1381.58012 Benameur, Moulay Tahar; Mathai, Varghese 7 2018 Twisted chiral de Rham complex, generalized geometry, and T-duality. Zbl 1351.53101 Linshaw, Andrew; Mathai, Varghese 7 2015 The index of projective families of elliptic operators: the decomposable case. Zbl 1207.19006 Mathai, Varghese; Melrose, Richard B.; Singer, Isadore M. 7 2009 Coarse geometry and Callias quantisation. Zbl 1457.19008 Guo, Hao; Hochs, Peter; Mathai, Varghese 7 2021 \(C^*\)-algebras in tensor categories. Zbl 1221.46073 Bouwknegt, Peter; Hannabuss, Keith C.; Mathai, Varghese 6 2010 Analytic torsion of \(\mathbb{Z}_2\)-graded elliptic complexes. Zbl 1252.58020 Mathai, Varghese; Wu, Siye 6 2011 Parametrized strict deformation quantization of \(C^{*}\)-bundles and Hilbert \(C^{*}\)-modules. Zbl 1218.53093 Hannabuss, Keith C.; Mathai, Varghese 6 2011 Approximating \(L^2\) invariants of amenable covering spaces: a heat kernel approach. Zbl 0910.58037 Dodziuk, Józef; Mathai, Varghese 6 1997 \(L^ 2\) invariants of covering spaces. Zbl 0887.57003 Mathai, Varghese 6 1998 Spin-structures and proper group actions. Zbl 1335.57046 Hochs, Peter; Mathai, Varghese 6 2016 T-duality for circle bundles via noncommutative geometry. Zbl 1308.81149 Mathai, Varghese; Rosenberg, Jonathan 6 2014 Semiclassical asymptotics and gaps in the spectra of magnetic Schrödinger operators. Zbl 1007.58016 Mathai, V.; Shubin, M. 6 2002 Twisted analytic torsion. Zbl 1202.58019 Mathai, Varghese; Wu, SiYe 5 2010 Non-negative scalar curvature. Zbl 0815.53048 Mathai, Varghese 5 1992 Spectral sections, twisted rho invariants and positive scalar curvature. Zbl 1342.58014 Benameur, Moulay Tahar; Mathai, Varghese 5 2015 Spherical T-duality. II: An infinity of spherical T-duals for non-principal \(\mathrm{SU}(2)\)-bundles. Zbl 1315.81077 Bouwknegt, Peter; Evslin, Jarah; Mathai, Varghese 5 2015 Geometry of pseudodifferential algebra bundles and Fourier integral operators. Zbl 1397.58015 Mathai, Varghese; Melrose, Richard B. 5 2017 Proof of the magnetic gap-labelling conjecture for principal solenoidal tori. Zbl 1429.58039 Benameur, Moulay Tahar; Mathai, Varghese 5 2020 Conformal invariants of twisted Dirac operators and positive scalar curvature. Zbl 1282.58018 Benameur, Moulay Tahar; Mathai, Varghese 5 2013 Index type invariants for twisted signature complexes and homotopy invariance. Zbl 1290.58015 Benameur, Moulay Tahar; Mathai, Varghese 5 2014 Twisted \(L^2\) invariants of non-simply connected manifolds and asymptotic \(L^2\) Morse inequalities. Zbl 0909.58048 Mathai, Varghese; Shubin, Mikhail 4 1996 Flux compactifications on projective spaces and the \(S\)-duality puzzle. Zbl 1129.81062 Bouwknegt, Peter; Evslin, Jarah; Jurčo, Branislav; Mathai, Varghese; Sati, Hisham 4 2006 The geometry of determinant line bundles in noncommutative geometry. Zbl 1181.58020 Chakraborty, Partha Sarathi; Mathai, Varghese 4 2009 Yang-Mills theory for bundle gerbes. Zbl 1122.53013 Mathai, Varghese; Roberts, David 4 2006 Harmonic Cheeger-Simons characters with applications. Zbl 1167.58014 Green, Richard; Mathai, Varghese 4 2009 Spherical T-duality. Zbl 1315.81078 Bouwknegt, Peter; Evslin, Jarah; Mathai, Varghese 4 2015 T-duality of current algebras and their quantization. Zbl 1317.81151 Hekmati, Pedram; Mathai, Varghese 4 2012 Topological phases on the hyperbolic plane: fractional bulk-boundary correspondence. Zbl 1480.81132 Mathai, Varghese; Thiang, Guo Chuan 4 2019 T-duality in an H-flux: exchange of momentum and winding. Zbl 1403.58001 Han, Fei; Mathai, Varghese 4 2018 Discrete Morse theory and extended \(L^2\) homology. Zbl 0940.57035 Mathai, Varghese; Yates, Stuart G. 3 1999 Operator algebra quantum homogeneous spaces of universal gauge groups. Zbl 1242.46085 Mahanta, Snigdhayan; Mathai, Varghese 3 2011 Group dualities, T-dualities, and twisted \(K\)-theory. Zbl 1390.19011 Mathai, Varghese; Rosenberg, Jonathan 3 2018 Correspondences, von Neumann algebras and holomorphic \(L^2\) torsion. Zbl 0982.58023 Carey, A.; Farber, M.; Mathai, V. 3 2000 L\({}^ 2\)-acyclicity and \(L^ 2\)-torsion invariants. Zbl 0726.57018 Mathai, Varghese; Carey, Alan L. 3 1990 Inequalities for the Novikov-Shubin invariants. Zbl 0858.58046 Mathai, Varghese 3 1996 Higher abelian gauge theory associated to gerbes on noncommutative deformed M5-branes and S-duality. Zbl 1316.81078 Mathai, Varghese; Sati, Hisham 3 2015 Topology and flux of T-dual manifolds with circle actions. Zbl 1257.81059 Mathai, Varghese; Wu, Siye 3 2012 The Riemann-Roch theorem on higher dimensional complex noncommutative tori. Zbl 1454.46076 Mathai, Varghese; Rosenberg, Jonathan 3 2020 Holomorphic Quillen determinant line bundles on integral compact Kähler manifolds. Zbl 1280.32013 Dey, Rukmini; Mathai, Varghese 3 2013 Positive scalar curvature and an equivariant Callias-type index theorem for proper actions. Zbl 1484.53087 Guo, Hao; Hochs, Peter; Mathai, Varghese 3 2021 \(L^ 2\) Reidemeister-Franz torsion. Zbl 0686.57009 Carey, A. L; Mathai, Varghese 2 1989 Entire cyclic homology of stable continuous trace algebras. Zbl 1113.19001 Mathai, Varghese; Stevenson, Danny 2 2007 Equivariant holomorphic Morse inequalities. I: A heat kernel proof. Zbl 0910.58006 Mathai, Varghese; Wu, Siye 2 1997 Von Neumann spectra near the spectral gap. Zbl 0911.58034 Carey, Alan L.; Coulhon, Thierry; Mathai, Varghese; Phillips, John 2 1998 Von Neumann algebra invariants of Dirac operators. Zbl 0915.58017 Mathai, Varghese 2 1998 On the homotopy invariance of \(L^2\) torsion for covering spaces. Zbl 0905.58059 Mathai, Varghese; Rothenberg, Melvin 2 1998 Heat kernels and Thom forms. Zbl 0774.58039 Mathai, Varghese 2 1992 Nonassociative strict deformation quantization of \(C^*\)-algebras and nonassociative torus bundles. Zbl 1264.46049 Hannabuss, Keith C.; Mathai, Varghese 2 2012 Witten genus and elliptic genera for proper actions. Zbl 1487.58019 Han, Fei; Mathai, Varghese 1 2022 Coarse geometry and Callias quantisation. Zbl 1457.19008 Guo, Hao; Hochs, Peter; Mathai, Varghese 7 2021 Positive scalar curvature and an equivariant Callias-type index theorem for proper actions. Zbl 1484.53087 Guo, Hao; Hochs, Peter; Mathai, Varghese 3 2021 Exotic Courant algebroids and T-duality. Zbl 1464.53105 Crilly, Jaklyn; Mathai, Varghese 2 2021 T-duality, Jacobi forms and Witten-Gerbe modules. Zbl 1499.81081 Han, Fei; Mathai, Varghese 1 2021 T-duality and the exotic chiral de Rham complex. Zbl 1490.58002 Linshaw, Andrew; Mathai, Varghese 1 2021 Equivariant Callias index theory via coarse geometry. (Théorie d’indice Callias équivariant par géométrie grossière.) Zbl 1502.19005 Guo, Hao; Hochs, Peter; Mathai, Varghese 1 2021 Proof of the magnetic gap-labelling conjecture for principal solenoidal tori. Zbl 1429.58039 Benameur, Moulay Tahar; Mathai, Varghese 5 2020 The Riemann-Roch theorem on higher dimensional complex noncommutative tori. Zbl 1454.46076 Mathai, Varghese; Rosenberg, Jonathan 3 2020 Positive scalar curvature and Poincaré duality for proper actions. Zbl 1443.53031 Guo, Hao; Mathai, Varghese; Wang, Hang 8 2019 Topological phases on the hyperbolic plane: fractional bulk-boundary correspondence. Zbl 1480.81132 Mathai, Varghese; Thiang, Guo Chuan 4 2019 Projective elliptic genera and elliptic pseudodifferential genera. Zbl 1429.58033 Han, Fei; Mathai, Varghese 1 2019 Fractional quantum numbers via complex orbifolds. Zbl 1437.81210 Mathai, Varghese; Wilkin, Graeme 1 2019 T-duality simplifies bulk-boundary correspondence: the noncommutative case. Zbl 1395.58008 Hannabuss, Keith C.; Mathai, Varghese; Thiang, Guo Chuan 7 2018 Gap-labelling conjecture with nonzero magnetic field. Zbl 1381.58012 Benameur, Moulay Tahar; Mathai, Varghese 7 2018 T-duality in an H-flux: exchange of momentum and winding. Zbl 1403.58001 Han, Fei; Mathai, Varghese 4 2018 Group dualities, T-dualities, and twisted \(K\)-theory. Zbl 1390.19011 Mathai, Varghese; Rosenberg, Jonathan 3 2018 T-duality of singular spacetime compactifications in an H-flux. Zbl 1388.81575 Linshaw, Andrew; Mathai, Varghese 1 2018 Spherical T-duality and the spherical Fourier-Mukai transform. Zbl 1398.81187 Bouwknegt, Peter; Evslin, Jarah; Mathai, Varghese 1 2018 Quantising proper actions on \(\text{Spin}^c\)-manifolds. Zbl 1381.53085 Hochs, Peter; Mathai, Varghese 12 2017 Differential topology of semimetals. Zbl 1376.82101 Mathai, Varghese; Thiang, Guo Chuan 11 2017 Global topology of Weyl semimetals and Fermi arcs. Zbl 1364.82063 Mathai, Varghese; Thiang, Guo Chuan 8 2017 Geometry of pseudodifferential algebra bundles and Fourier integral operators. Zbl 1397.58015 Mathai, Varghese; Melrose, Richard B. 5 2017 T-duality simplifies bulk-boundary correspondence. Zbl 1353.82068 Mathai, Varghese; Thiang, Guo Chuan 19 2016 \(T\)-duality simplifies bulk-boundary correspondence: the parametrised case. Zbl 1359.81181 Hannabuss, Keith C.; Mathai, Varghese; Thiang, Guo Chuan 13 2016 T-duality simplifies bulk-boundary correspondence: some higher dimensional cases. Zbl 1354.81065 Mathai, Varghese; Thiang, Guo Chuan 12 2016 Spin-structures and proper group actions. Zbl 1335.57046 Hochs, Peter; Mathai, Varghese 6 2016 Geometric quantization and families of inner products. Zbl 1325.53115 Hochs, Peter; Mathai, Varghese 19 2015 T-duality of topological insulators. Zbl 1330.82053 Mathai, Varghese; Thiang, Guo Chuan 14 2015 Exotic twisted equivariant cohomology of loop spaces, twisted Bismut-Chern character and T-duality. Zbl 1325.57017 Han, Fei; Mathai, Varghese 10 2015 Twisted chiral de Rham complex, generalized geometry, and T-duality. Zbl 1351.53101 Linshaw, Andrew; Mathai, Varghese 7 2015 Spectral sections, twisted rho invariants and positive scalar curvature. Zbl 1342.58014 Benameur, Moulay Tahar; Mathai, Varghese 5 2015 Spherical T-duality. II: An infinity of spherical T-duals for non-principal \(\mathrm{SU}(2)\)-bundles. Zbl 1315.81077 Bouwknegt, Peter; Evslin, Jarah; Mathai, Varghese 5 2015 Spherical T-duality. Zbl 1315.81078 Bouwknegt, Peter; Evslin, Jarah; Mathai, Varghese 4 2015 Higher abelian gauge theory associated to gerbes on noncommutative deformed M5-branes and S-duality. Zbl 1316.81078 Mathai, Varghese; Sati, Hisham 3 2015 T-duality for circle bundles via noncommutative geometry. Zbl 1308.81149 Mathai, Varghese; Rosenberg, Jonathan 6 2014 Index type invariants for twisted signature complexes and homotopy invariance. Zbl 1290.58015 Benameur, Moulay Tahar; Mathai, Varghese 5 2014 Corrigendum to “Conformal invariants of twisted Dirac operators and positive scalar curvature”. Zbl 1283.58021 Benameur, Moulay Tahar; Mathai, Varghese 1 2014 Conformal invariants of twisted Dirac operators and positive scalar curvature. Zbl 1282.58018 Benameur, Moulay Tahar; Mathai, Varghese 5 2013 Holomorphic Quillen determinant line bundles on integral compact Kähler manifolds. Zbl 1280.32013 Dey, Rukmini; Mathai, Varghese 3 2013 T-duality of current algebras and their quantization. Zbl 1317.81151 Hekmati, Pedram; Mathai, Varghese 4 2012 Topology and flux of T-dual manifolds with circle actions. Zbl 1257.81059 Mathai, Varghese; Wu, Siye 3 2012 Nonassociative strict deformation quantization of \(C^*\)-algebras and nonassociative torus bundles. Zbl 1264.46049 Hannabuss, Keith C.; Mathai, Varghese 2 2012 Bundle gerbes and moduli spaces. Zbl 1230.53027 Bouwknegt, Peter; Mathai, Varghese; Wu, Siye 1 2012 Analytic torsion for twisted de Rham complexes. Zbl 1238.58023 Mathai, Varghese; Wu, Siye 15 2011 A noncommutative sigma-model. Zbl 1260.58004 Mathai, Varghese; Rosenberg, Jonathan 11 2011 Analytic torsion of \(\mathbb{Z}_2\)-graded elliptic complexes. Zbl 1252.58020 Mathai, Varghese; Wu, Siye 6 2011 Parametrized strict deformation quantization of \(C^{*}\)-bundles and Hilbert \(C^{*}\)-modules. Zbl 1218.53093 Hannabuss, Keith C.; Mathai, Varghese 6 2011 Operator algebra quantum homogeneous spaces of universal gauge groups. Zbl 1242.46085 Mahanta, Snigdhayan; Mathai, Varghese 3 2011 Geometric quantization for proper actions. Zbl 1211.53101 Mathai, Varghese; Zhang, Weiping 23 2010 Noncommutative principal torus bundles via parametrised strict deformation quantization. Zbl 1210.81062 Hannabuss, Keith C.; Mathai, Varghese 13 2010 \(C^*\)-algebras in tensor categories. Zbl 1221.46073 Bouwknegt, Peter; Hannabuss, Keith C.; Mathai, Varghese 6 2010 Twisted analytic torsion. Zbl 1202.58019 Mathai, Varghese; Wu, SiYe 5 2010 Non-commutative correspondences, duality and D-branes in bivariant K-theory. Zbl 1166.81032 Brodzki, Jacek; Mathai, Varghese; Rosenberg, Jonathan; Szabo, Richard J. 10 2009 T-duality as a duality of loop group bundles. Zbl 1162.81409 Bouwknegt, Peter; Mathai, Varghese 7 2009 The index of projective families of elliptic operators: the decomposable case. Zbl 1207.19006 Mathai, Varghese; Melrose, Richard B.; Singer, Isadore M. 7 2009 The geometry of determinant line bundles in noncommutative geometry. Zbl 1181.58020 Chakraborty, Partha Sarathi; Mathai, Varghese 4 2009 Harmonic Cheeger-Simons characters with applications. Zbl 1167.58014 Green, Richard; Mathai, Varghese 4 2009 D-branes, RR-fields and duality on noncommutative manifolds. Zbl 1162.58008 Brodzki, Jacek; Mathai, Varghese; Rosenberg, Jonathan; Szabo, Richard J. 20 2008 Entire cyclic homology of stable continuous trace algebras. Zbl 1113.19001 Mathai, Varghese; Stevenson, Danny 2 2007 Nonassociative tori and applications to \(T\)-duality. Zbl 1115.46063 Bouwknegt, Peter; Hannabuss, Keith; Mathai, Varghese 57 2006 Kato’s inequality and asymptotic spectral properties for discrete magnetic Laplacians. Zbl 1207.81024 Dodziuk, Józef; Mathai, Varghese 33 2006 \(T\)-duality for torus bundles with H-fluxed via noncommutative topology. II: The high dimensional case and the \(T\)-duality group. Zbl 1111.81131 Mathai, Varghese; Rosenberg, Jonathan 29 2006 On mysteriously missing \(T\)-duals, \(H\)-flux and the \(T\)-duality group. Zbl 1121.81107 Mathai, Varghese; Rosenberg, Jonathan 16 2006 Towards the fractional quantum Hall effect: a noncommutative geometry perspective. Zbl 1105.81068 Marcolli, Matilde; Mathai, Varghese 13 2006 On a generalised Connes-Hochschild-Kostant-Rosenberg theorem. Zbl 1098.19002 Mathai, Varghese; Stevenson, Danny 12 2006 Fractional analytic index. Zbl 1115.58021 Mathai, V.; Melrose, R. B.; Singer, I. M. 12 2006 Heat kernels and the range of the trace on completions of twisted group algebras. Zbl 1122.46053 Mathai, Varghese 9 2006 Quantum Hall effect and noncommutative geometry. Zbl 1104.81088 Carey, Alan L.; Hannabuss, Keith C.; Mathai, Varghese 8 2006 Flux compactifications on projective spaces and the \(S\)-duality puzzle. Zbl 1129.81062 Bouwknegt, Peter; Evslin, Jarah; Jurčo, Branislav; Mathai, Varghese; Sati, Hisham 4 2006 Yang-Mills theory for bundle gerbes. Zbl 1122.53013 Mathai, Varghese; Roberts, David 4 2006 \(T\)-duality for torus bundles with \(H\)-fluxes via noncommutative topology. Zbl 1078.58006 Mathai, Varghese; Rosenberg, Jonathan 57 2005 \(T\)-duality for principal torus bundles and dimensionally reduced Gysin sequences. Zbl 1129.53013 Bouwknegt, Peter; Hannabuss, Keith; Mathai, Varghese 35 2005 The index of projective families of elliptic operators. Zbl 1083.58021 Mathai, Varghese; Melrose, Richard B.; Singer, Isadore M. 20 2005 Equivalence of spectral projections in semiclassical limit and a vanishing theorem for higher traces in \(K\)-theory. Zbl 1084.58010 Kordyukov, Y.; Mathai, V.; Shubin, M. 9 2005 \(L^2\)-torsion without the determinant class condition and extended \(L^2\) cohomology. Zbl 1079.55015 Braverman, Maxim; Carey, Alan; Farber, Michael; Mathai, Varghese 8 2005 \(T\)-duality: topology change from \(H\)-flux. Zbl 1062.81119 Bouwknegt, Peter; Evslin, Jarah; Mathai, Varghese 111 2004 Topology and \(H\)-flux of \(T\)-dual manifolds. Zbl 1267.81264 Bouwknegt, Peter; Evslin, Jarah; Mathai, Varghese 38 2004 Approximating \(L ^{2}\)-invariants and the Atiyah conjecture. Zbl 1036.58017 Dodziuk, Józef; Linnell, Peter; Mathai, Varghese; Schick, Thomas; Yates, Stuart 58 2003 Chern character in twisted \(K\)-theory: Equivariant and holomorphic cases. Zbl 1030.19004 Mathai, Varghese; Stevenson, Danny 24 2003 Approximating spectral invariants of Harper operators on graphs. II. Zbl 1045.47028 Mathai, Varghese; Schick, Thomas; Yates, Stuart 13 2003 The Novikov conjecture for low degree cohomology classes. Zbl 1029.19006 Mathai, Varghese 12 2003 Twisted \(K\)-theory and \(K\)-theory of bundle gerbes. Zbl 1036.19005 Bouwknegt, Peter; Carey, Alan L.; Mathai, Varghese; Murray, Michael K.; Stevenson, Danny 98 2002 Approximating spectral invariants of Harper operators on graphs. Zbl 1041.47013 Mathai, Varghese; Yates, Stuart 23 2002 Semiclassical asymptotics and gaps in the spectra of magnetic Schrödinger operators. Zbl 1007.58016 Mathai, V.; Shubin, M. 6 2002 Twisted index theory on good orbifolds. II: Fractional quantum numbers. Zbl 0982.58018 Marcolli, Matilde; Mathai, Varghese 16 2001 D-branes, \(B\)-fields and twisted \(K\)-theory. Zbl 0959.81037 Bouwknegt, Peter; Mathai, Varghese 56 2000 Correspondences, von Neumann algebras and holomorphic \(L^2\) torsion. Zbl 0982.58023 Carey, A.; Farber, M.; Mathai, V. 3 2000 Twisted index theory on good orbifolds. I: Noncommutative Bloch theory. Zbl 0959.58035 Marcolli, Matilde; Mathai, Varghese 17 1999 \(K\)-theory of twisted group \(C^*\)-algebras and positive scalar curvature. Zbl 0942.46042 Mathai, Varghese 8 1999 Quantum Hall effect on the hyperbolic plane in the presence of disorder. Zbl 1055.81571 Carey, A.; Hannabuss, K.; Mathai, V. 8 1999 Discrete Morse theory and extended \(L^2\) homology. Zbl 0940.57035 Mathai, Varghese; Yates, Stuart G. 3 1999 Quantum Hall effect on the hyperbolic plane. Zbl 0916.46057 Carey, A. L.; Hannabuss, K. C.; Mathai, V.; McCann, P. 26 1998 Approximating \(L^2\) invariants of amenable covering spaces: A combinatorial approach. Zbl 0936.57018 Dodziuk, Jozef; Mathai, Varghese 15 1998 \(L^ 2\) invariants of covering spaces. Zbl 0887.57003 Mathai, Varghese 6 1998 Von Neumann spectra near the spectral gap. Zbl 0911.58034 Carey, Alan L.; Coulhon, Thierry; Mathai, Varghese; Phillips, John 2 1998 Von Neumann algebra invariants of Dirac operators. Zbl 0915.58017 Mathai, Varghese 2 1998 On the homotopy invariance of \(L^2\) torsion for covering spaces. Zbl 0905.58059 Mathai, Varghese; Rothenberg, Melvin 2 1998 Determinant lines, von Neumann algebras and \(L^ 2\) torsion. Zbl 0872.46031 Carey, A.; Farber, M.; Mathai, V. 10 1997 Approximating \(L^2\) invariants of amenable covering spaces: a heat kernel approach. Zbl 0910.58037 Dodziuk, Józef; Mathai, Varghese 6 1997 ...and 12 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 783 Authors 69 Mathai, Varghese 26 Sati, Hisham 22 Szabo, Richard J. 18 Bismut, Jean-Michel 16 Carey, Alan L. 16 Hochs, Peter 15 Thiang, Guo Chuan 14 Schreiber, Urs 13 Schick, Thomas 12 Lüst, Dieter 11 Benameur, Moulay-Tahar 10 Plauschinn, Erik 10 Veselić, Ivan 9 Bouwknegt, Peter G. 9 Gomi, Kiyonori 9 Guo, Hao 9 Lenz, Daniel H. 9 Rosenberg, Jonathan Micah 9 Wang, Bailing 8 Keller, Matthias 8 Murray, Michael K. 8 Su, Guangxiang 8 Wu, Siye 7 Blumenhagen, Ralph 7 Deser, Andreas 7 Evslin, Jarah 7 Minasian, Ruben 7 Peyerimhoff, Norbert 7 Post, Olaf 7 Rennie, Adam 7 Stevenson, Danny 7 Wang, Hang 7 Zhang, Weiping 6 Abramov, Viktor 6 Bourne, Chris 6 Burghelea, Dan 6 Daletskii, Alexei 6 Friedl, Stefan 6 Han, Fei 6 Hannabuss, Keith C. 6 Lück, Wolfgang 6 Song, Yanli 5 Albeverio, Sergio A. 5 Baraglia, David 5 Braverman, Maxim 5 Fiorenza, Domenico 5 Landi, Giovanni 5 Ludewig, Matthias 5 Moore, Gregory Winthrop 5 Pennig, Ulrich 5 Schwarzenberger, Fabian 5 Uribe, Bernardo 5 Vergne, Michèle 5 Witten, Edward 5 Wojciechowski, Radosław Krzysztof 4 Bunk, Severin 4 Bunke, Ulrich 4 Elek, Gábor 4 Freed, Daniel Stuart 4 Garcia, Luis E. 4 Haller, Stefan 4 Hekmati, Pedram 4 Kordyukov, Yuri A. 4 Kubota, Yosuke 4 Linnell, Peter Arnold 4 Linshaw, Andrew Ross 4 Lledó, Fernando 4 Ma, Xiaonan 4 Malek, Emanuel 4 Marcolli, Matilde 4 Mickelsson, Jouko 4 Milatovic, Ognjen 4 Nikolaus, Thomas 4 Piazza, Paolo 4 Sämann, Christian 4 Schenkel, Alexander 4 Schupp, Peter 4 Sergeev, Armen Glebovich 4 Sukochev, Fedor Anatol’evich 4 Vozzo, Raymond F. 4 Waldorf, Konrad 4 Yates, Stuart G. 4 Yu, Guoliang 4 Zhang, Xin 3 Alfonsi, Luigi 3 Aschieri, Paolo 3 Aßelmeyer-Maluga, Torsten 3 Barnes, Gwendolyn E. 3 Ben-Bassat, Oren 3 Berwick-Evans, Daniel 3 Blau, Matthias 3 Chatzistavrakidis, Athanasios 3 De Nittis, Giuseppe 3 Fabila-Carrasco, John Stewart 3 Farber, Michael S. 3 Fine, Dana Stanley 3 Gannon, Terry 3 Golénia, Sylvain 3 Grady, Daniel 3 Güneysu, Batu ...and 683 more Authors all top 5 Cited in 155 Serials 88 Journal of Geometry and Physics 69 Communications in Mathematical Physics 53 Journal of High Energy Physics 42 Journal of Functional Analysis 32 Advances in Mathematics 27 Nuclear Physics. 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Série VI 2 Calculus of Variations and Partial Differential Equations 2 Journal of Mathematical Sciences (New York) 2 Annales Mathématiques Blaise Pascal 2 Bulletin des Sciences Mathématiques 2 The Journal of Fourier Analysis and Applications 2 Annals of Mathematics. Second Series 2 Journal of the European Mathematical Society (JEMS) 2 Japanese Journal of Mathematics. 3rd Series 2 Kyoto Journal of Mathematics 1 Bulletin of the Australian Mathematical Society 1 General Relativity and Gravitation 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Journal of Statistical Physics 1 Physics Reports 1 Reports on Mathematical Physics 1 Reviews of Modern Physics 1 Rocky Mountain Journal of Mathematics 1 Russian Mathematical Surveys 1 Ukrainian Mathematical Journal 1 Archiv der Mathematik 1 Czechoslovak Mathematical Journal 1 Journal of Algebra 1 Journal of Pure and Applied Algebra 1 Manuscripta Mathematica 1 Mathematische Nachrichten 1 Memoirs of the American Mathematical Society 1 Michigan Mathematical Journal 1 Monatshefte für Mathematik 1 Nagoya Mathematical Journal 1 Osaka Journal of Mathematics ...and 55 more Serials all top 5 Cited in 48 Fields 340 Quantum theory (81-XX) 292 Global analysis, analysis on manifolds (58-XX) 210 Differential geometry (53-XX) 158 \(K\)-theory (19-XX) 152 Functional analysis (46-XX) 128 Algebraic topology (55-XX) 128 Manifolds and cell complexes (57-XX) 69 Relativity and gravitational theory (83-XX) 63 Operator theory (47-XX) 61 Algebraic geometry (14-XX) 55 Partial differential equations (35-XX) 53 Topological groups, Lie groups (22-XX) 45 Statistical mechanics, structure of matter (82-XX) 33 Combinatorics (05-XX) 29 Group theory and generalizations (20-XX) 28 Nonassociative rings and algebras (17-XX) 25 Category theory; homological algebra (18-XX) 21 Several complex variables and analytic spaces (32-XX) 20 Associative rings and algebras (16-XX) 17 Probability theory and stochastic processes (60-XX) 16 Number theory (11-XX) 16 Dynamical systems and ergodic theory (37-XX) 12 Difference and functional equations (39-XX) 10 Abstract harmonic analysis (43-XX) 10 Convex and discrete geometry (52-XX) 8 Mechanics of particles and systems (70-XX) 7 Ordinary differential equations (34-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 6 Harmonic analysis on Euclidean spaces (42-XX) 5 Measure and integration (28-XX) 4 Functions of a complex variable (30-XX) 4 Approximations and expansions (41-XX) 3 General and overarching topics; collections (00-XX) 3 Potential theory (31-XX) 3 Numerical analysis (65-XX) 3 Optics, electromagnetic theory (78-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Field theory and polynomials (12-XX) 2 Real functions (26-XX) 2 Special functions (33-XX) 2 Geometry (51-XX) 2 General topology (54-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 Commutative algebra (13-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Mechanics of deformable solids (74-XX) 1 Information and communication theory, circuits (94-XX) 1 Mathematics education (97-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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