Edit Profile (opens in new tab) Mathai, Varghese Compute Distance To: Compute 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 · dblp Documents Indexed: 125 Publications since 1986 3 Contributions as Editor Biographic References: 1 Publication Co-Authors: 55 Co-Authors with 115 Joint Publications 1,442 Co-Co-Authors all top 5 Co-Authors 12 single-authored 14 Bouwknegt, Peter G. 12 Carey, Alan L. 11 Hannabuss, Keith C. 9 Rosenberg, Jonathan Micah 9 Thiang, Guo Chuan 8 Han, Fei 7 Hochs, Peter 6 Benameur, Moulay-Tahar 6 Evslin, Jarah 6 Guo, Hao 6 Wu, Siye 5 Dodziuk, Jozef 5 Yates, Stuart G. 4 Melrose, Richard Burt 4 Stevenson, Danny 3 Farber, Michael S. 3 Linshaw, Andrew Ross 3 Marcolli, Matilde 3 Shubin, Mikhail Aleksandrovich 3 Singer, Isadore Manuel 2 Brodzki, Jacek 2 Hekmati, Pedram 2 Sati, Hisham 2 Schick, Thomas 2 Szabo, Richard J. 2 Wilkin, Graeme 2 Yu, Guoliang 2 Zhang, Weiping 1 Baraglia, David 1 Block, Jonathan L. 1 Braverman, Maxim 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 Jurčo, Branislav 1 Kordyukov, Yuri A. 1 Landi, Giovanni 1 Linnell, Peter Arnold 1 MacDonald, Lachlan Ewen 1 Mahanta, Snigdhayan 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 73 Global analysis, analysis on manifolds (58-XX) 62 Quantum theory (81-XX) 38 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 Statistical mechanics, structure of matter (82-XX) 10 Relativity and gravitational theory (83-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 109 Publications have been cited 1,417 times in 764 Documents Cited by ▼ Year ▼ Superconnections, Thom classes, and equivariant differential forms. Zbl 0592.55015Mathai, Varghese; Quillen, Daniel 157 1986 \(T\)-duality: topology change from \(H\)-flux. Zbl 1062.81119Bouwknegt, Peter; Evslin, Jarah; Mathai, Varghese 100 2004 Twisted \(K\)-theory and \(K\)-theory of bundle gerbes. Zbl 1036.19005Bouwknegt, Peter; Carey, Alan L.; Mathai, Varghese; Murray, Michael K.; Stevenson, Danny 94 2002 Approximating \(L ^{2}\)-invariants and the Atiyah conjecture. Zbl 1036.58017Dodziuk, Józef; Linnell, Peter; Mathai, Varghese; Schick, Thomas; Yates, Stuart 55 2003 Nonassociative tori and applications to \(T\)-duality. Zbl 1115.46063Bouwknegt, Peter; Hannabuss, Keith; Mathai, Varghese 53 2006 \(T\)-duality for torus bundles with \(H\)-fluxes via noncommutative topology. Zbl 1078.58006Mathai, Varghese; Rosenberg, Jonathan 53 2005 D-branes, \(B\)-fields and twisted \(K\)-theory. Zbl 0959.81037Bouwknegt, Peter; Mathai, Varghese 53 2000 Topology and \(H\)-flux of \(T\)-dual manifolds. Zbl 1267.81264Bouwknegt, Peter; Evslin, Jarah; Mathai, Varghese 34 2004 \(T\)-duality for principal torus bundles and dimensionally reduced Gysin sequences. Zbl 1129.53013Bouwknegt, Peter; Hannabuss, Keith; Mathai, Varghese 33 2005 Kato’s inequality and asymptotic spectral properties for discrete magnetic Laplacians. Zbl 1207.81024Dodziuk, Józef; Mathai, Varghese 29 2006 \(T\)-duality for torus bundles with H-fluxed via noncommutative topology. II: The high dimensional case and the \(T\)-duality group. Zbl 1111.81131Mathai, Varghese; Rosenberg, Jonathan 25 2006 Chern character in twisted \(K\)-theory: Equivariant and holomorphic cases. Zbl 1030.19004Mathai, Varghese; Stevenson, Danny 24 2003 Quantum Hall effect on the hyperbolic plane. Zbl 0916.46057Carey, A. L.; Hannabuss, K. C.; Mathai, V.; McCann, P. 24 1998 \(L^ 2\)-analytic torsion. Zbl 0756.58047Mathai, Varghese 24 1992 Geometric quantization for proper actions. Zbl 1211.53101Mathai, Varghese; Zhang, Weiping 23 2010 Approximating spectral invariants of Harper operators on graphs. Zbl 1041.47013Mathai, Varghese; Yates, Stuart 22 2002 D-branes, RR-fields and duality on noncommutative manifolds. Zbl 1162.58008Brodzki, Jacek; Mathai, Varghese; Rosenberg, Jonathan; Szabo, Richard J. 19 2008 T-duality simplifies bulk-boundary correspondence. Zbl 1353.82068Mathai, Varghese; Thiang, Guo Chuan 19 2016 The index of projective families of elliptic operators. Zbl 1083.58021Mathai, Varghese; Melrose, Richard B.; Singer, Isadore M. 19 2005 Geometric quantization and families of inner products. Zbl 1325.53115Hochs, Peter; Mathai, Varghese 18 2015 \(L^ 2\)-torsion invariants. Zbl 0771.57009Carey, Alan L.; Mathai, Varghese 17 1992 On mysteriously missing \(T\)-duals, \(H\)-flux and the \(T\)-duality group. Zbl 1121.81107Mathai, Varghese; Rosenberg, Jonathan 15 2006 Approximating \(L^2\) invariants of amenable covering spaces: A combinatorial approach. Zbl 0936.57018Dodziuk, Jozef; Mathai, Varghese 15 1998 Twisted index theory on good orbifolds. I: Noncommutative Bloch theory. Zbl 0959.58035Marcolli, Matilde; Mathai, Varghese 15 1999 Twisted index theory on good orbifolds. II: Fractional quantum numbers. Zbl 0982.58018Marcolli, Matilde; Mathai, Varghese 15 2001 Analytic torsion for twisted de Rham complexes. Zbl 1238.58023Mathai, Varghese; Wu, Siye 15 2011 Approximating spectral invariants of Harper operators on graphs. II. Zbl 1045.47028Mathai, Varghese; Schick, Thomas; Yates, Stuart 13 2003 T-duality simplifies bulk-boundary correspondence: some higher dimensional cases. Zbl 1354.81065Mathai, Varghese; Thiang, Guo Chuan 13 2016 T-duality of topological insulators. Zbl 1330.82053Mathai, Varghese; Thiang, Guo Chuan 13 2015 The Novikov conjecture for low degree cohomology classes. Zbl 1029.19006Mathai, Varghese 12 2003 Fractional analytic index. Zbl 1115.58021Mathai, V.; Melrose, R. B.; Singer, I. M. 12 2006 Spectral flow, eta invariants, and von Neumann algebras. Zbl 0783.57015Mathai, Varghese 12 1992 Noncommutative principal torus bundles via parametrised strict deformation quantization. Zbl 1210.81062Hannabuss, Keith C.; Mathai, Varghese 12 2010 \(T\)-duality simplifies bulk-boundary correspondence: the parametrised case. Zbl 1359.81181Hannabuss, Keith C.; Mathai, Varghese; Thiang, Guo Chuan 12 2016 On a generalised Connes-Hochschild-Kostant-Rosenberg theorem. Zbl 1098.19002Mathai, Varghese; Stevenson, Danny 12 2006 Towards the fractional quantum Hall effect: a noncommutative geometry perspective. Zbl 1105.81068Marcolli, Matilde; Mathai, Varghese 11 2006 Quantising proper actions on \(\text{Spin}^c\)-manifolds. Zbl 1381.53085Hochs, Peter; Mathai, Varghese 11 2017 Non-commutative correspondences, duality and D-branes in bivariant K-theory. Zbl 1166.81032Brodzki, Jacek; Mathai, Varghese; Rosenberg, Jonathan; Szabo, Richard J. 10 2009 A noncommutative sigma-model. Zbl 1260.58004Mathai, Varghese; Rosenberg, Jonathan 10 2011 Exotic twisted equivariant cohomology of loop spaces, twisted Bismut-Chern character and T-duality. Zbl 1325.57017Han, Fei; Mathai, Varghese 10 2015 Determinant lines, von Neumann algebras and \(L^ 2\) torsion. Zbl 0872.46031Carey, A.; Farber, M.; Mathai, V. 9 1997 Equivalence of spectral projections in semiclassical limit and a vanishing theorem for higher traces in \(K\)-theory. Zbl 1084.58010Kordyukov, Y.; Mathai, V.; Shubin, M. 9 2005 Heat kernels and the range of the trace on completions of twisted group algebras. Zbl 1122.46053Mathai, Varghese 8 2006 \(L^2\)-torsion without the determinant class condition and extended \(L^2\) cohomology. Zbl 1079.55015Braverman, Maxim; Carey, Alan; Farber, Michael; Mathai, Varghese 8 2005 Differential topology of semimetals. Zbl 1376.82101Mathai, Varghese; Thiang, Guo Chuan 8 2017 Coarse geometry and Callias quantisation. Zbl 1457.19008Guo, Hao; Hochs, Peter; Mathai, Varghese 7 2021 T-duality simplifies bulk-boundary correspondence: the noncommutative case. Zbl 1395.58008Hannabuss, Keith C.; Mathai, Varghese; Thiang, Guo Chuan 7 2018 Twisted chiral de Rham complex, generalized geometry, and T-duality. Zbl 1351.53101Linshaw, Andrew; Mathai, Varghese 7 2015 \(K\)-theory of twisted group \(C^*\)-algebras and positive scalar curvature. Zbl 0942.46042Mathai, Varghese 7 1999 The index of projective families of elliptic operators: the decomposable case. Zbl 1207.19006Mathai, Varghese; Melrose, Richard B.; Singer, Isadore M. 7 2009 Approximating \(L^2\) invariants of amenable covering spaces: a heat kernel approach. Zbl 0910.58037Dodziuk, Józef; Mathai, Varghese 6 1997 \(L^ 2\) invariants of covering spaces. Zbl 0887.57003Mathai, Varghese 6 1998 Semiclassical asymptotics and gaps in the spectra of magnetic Schrödinger operators. Zbl 1007.58016Mathai, V.; Shubin, M. 6 2002 Global topology of Weyl semimetals and Fermi arcs. Zbl 1364.82063Mathai, Varghese; Thiang, Guo Chuan 6 2017 Quantum Hall effect on the hyperbolic plane in the presence of disorder. Zbl 1055.81571Carey, A.; Hannabuss, K.; Mathai, V. 6 1999 T-duality as a duality of loop group bundles. Zbl 1162.81409Bouwknegt, Peter; Mathai, Varghese 6 2009 \(C^*\)-algebras in tensor categories. Zbl 1221.46073Bouwknegt, Peter; Hannabuss, Keith C.; Mathai, Varghese 6 2010 Positive scalar curvature and Poincaré duality for proper actions. Zbl 1443.53031Guo, Hao; Mathai, Varghese; Wang, Hang 6 2019 Analytic torsion of \(\mathbb{Z}_2\)-graded elliptic complexes. Zbl 1252.58020Mathai, Varghese; Wu, Siye 6 2011 Spin-structures and proper group actions. Zbl 1335.57046Hochs, Peter; Mathai, Varghese 6 2016 Proof of the magnetic gap-labelling conjecture for principal solenoidal tori. Zbl 1429.58039Benameur, Moulay Tahar; Mathai, Varghese 5 2020 Quantum Hall effect and noncommutative geometry. Zbl 1104.81088Carey, Alan L.; Hannabuss, Keith C.; Mathai, Varghese 5 2006 Non-negative scalar curvature. Zbl 0815.53048Mathai, Varghese 5 1992 Parametrized strict deformation quantization of \(C^{*}\)-bundles and Hilbert \(C^{*}\)-modules. Zbl 1218.53093Hannabuss, Keith C.; Mathai, Varghese 5 2011 Index type invariants for twisted signature complexes and homotopy invariance. Zbl 1290.58015Benameur, Moulay Tahar; Mathai, Varghese 5 2014 Conformal invariants of twisted Dirac operators and positive scalar curvature. Zbl 1282.58018Benameur, Moulay Tahar; Mathai, Varghese 5 2013 Twisted analytic torsion. Zbl 1202.58019Mathai, Varghese; Wu, SiYe 5 2010 Gap-labelling conjecture with nonzero magnetic field. Zbl 1381.58012Benameur, Moulay Tahar; Mathai, Varghese 5 2018 Spectral sections, twisted rho invariants and positive scalar curvature. Zbl 1342.58014Benameur, Moulay Tahar; Mathai, Varghese 5 2015 T-duality for circle bundles via noncommutative geometry. Zbl 1308.81149Mathai, Varghese; Rosenberg, Jonathan 5 2014 Flux compactifications on projective spaces and the \(S\)-duality puzzle. Zbl 1129.81062Bouwknegt, Peter; Evslin, Jarah; Jurčo, Branislav; Mathai, Varghese; Sati, Hisham 4 2006 Twisted \(L^2\) invariants of non-simply connected manifolds and asymptotic \(L^2\) Morse inequalities. Zbl 0909.58048Mathai, Varghese; Shubin, Mikhail 4 1996 T-duality in an H-flux: exchange of momentum and winding. Zbl 1403.58001Han, Fei; Mathai, Varghese 4 2018 Harmonic Cheeger-Simons characters with applications. Zbl 1167.58014Green, Richard; Mathai, Varghese 4 2009 The geometry of determinant line bundles in noncommutative geometry. Zbl 1181.58020Chakraborty, Partha Sarathi; Mathai, Varghese 4 2009 Yang-Mills theory for bundle gerbes. Zbl 1122.53013Mathai, Varghese; Roberts, David 4 2006 Spherical T-duality. Zbl 1315.81078Bouwknegt, Peter; Evslin, Jarah; Mathai, Varghese 4 2015 Spherical T-duality. II: An infinity of spherical T-duals for non-principal \(\mathrm{SU}(2)\)-bundles. Zbl 1315.81077Bouwknegt, Peter; Evslin, Jarah; Mathai, Varghese 4 2015 Discrete Morse theory and extended \(L^2\) homology. Zbl 0940.57035Mathai, Varghese; Yates, Stuart G. 3 1999 Inequalities for the Novikov-Shubin invariants. Zbl 0858.58046Mathai, Varghese 3 1996 L\({}^ 2\)-acyclicity and \(L^ 2\)-torsion invariants. Zbl 0726.57018Mathai, Varghese; Carey, Alan L. 3 1990 Correspondences, von Neumann algebras and holomorphic \(L^2\) torsion. Zbl 0982.58023Carey, A.; Farber, M.; Mathai, V. 3 2000 T-duality of current algebras and their quantization. Zbl 1317.81151Hekmati, Pedram; Mathai, Varghese 3 2012 Topology and flux of T-dual manifolds with circle actions. Zbl 1257.81059Mathai, Varghese; Wu, Siye 3 2012 Positive scalar curvature and an equivariant Callias-type index theorem for proper actions. Zbl 1484.53087Guo, Hao; Hochs, Peter; Mathai, Varghese 3 2021 Group dualities, T-dualities, and twisted \(K\)-theory. Zbl 1390.19011Mathai, Varghese; Rosenberg, Jonathan 3 2018 Geometry of pseudodifferential algebra bundles and Fourier integral operators. Zbl 1397.58015Mathai, Varghese; Melrose, Richard B. 3 2017 Operator algebra quantum homogeneous spaces of universal gauge groups. Zbl 1242.46085Mahanta, Snigdhayan; Mathai, Varghese 3 2011 Holomorphic Quillen determinant line bundles on integral compact Kähler manifolds. Zbl 1280.32013Dey, Rukmini; Mathai, Varghese 3 2013 Higher abelian gauge theory associated to gerbes on noncommutative deformed M5-branes and S-duality. Zbl 1316.81078Mathai, Varghese; Sati, Hisham 3 2015 Exotic Courant algebroids and T-duality. Zbl 1464.53105Crilly, Jaklyn; Mathai, Varghese 2 2021 \(L^ 2\) Reidemeister-Franz torsion. Zbl 0686.57009Carey, A. L; Mathai, Varghese 2 1989 Entire cyclic homology of stable continuous trace algebras. Zbl 1113.19001Mathai, Varghese; Stevenson, Danny 2 2007 Von Neumann algebra invariants of Dirac operators. Zbl 0915.58017Mathai, Varghese 2 1998 On the homotopy invariance of \(L^2\) torsion for covering spaces. Zbl 0905.58059Mathai, Varghese; Rothenberg, Melvin 2 1998 Equivariant holomorphic Morse inequalities. I: A heat kernel proof. Zbl 0910.58006Mathai, Varghese; Wu, Siye 2 1997 Von Neumann spectra near the spectral gap. Zbl 0911.58034Carey, Alan L.; Coulhon, Thierry; Mathai, Varghese; Phillips, John 2 1998 Heat kernels and Thom forms. Zbl 0774.58039Mathai, Varghese 2 1992 Nonassociative strict deformation quantization of \(C^*\)-algebras and nonassociative torus bundles. Zbl 1264.46049Hannabuss, Keith C.; Mathai, Varghese 2 2012 Topological phases on the hyperbolic plane: fractional bulk-boundary correspondence. Zbl 1480.81132Mathai, Varghese; Thiang, Guo Chuan 2 2019 Coarse geometry and Callias quantisation. Zbl 1457.19008Guo, Hao; Hochs, Peter; Mathai, Varghese 7 2021 Positive scalar curvature and an equivariant Callias-type index theorem for proper actions. Zbl 1484.53087Guo, Hao; Hochs, Peter; Mathai, Varghese 3 2021 Exotic Courant algebroids and T-duality. Zbl 1464.53105Crilly, Jaklyn; Mathai, Varghese 2 2021 T-duality and the exotic chiral de Rham complex. Zbl 1490.58002Linshaw, Andrew; Mathai, Varghese 1 2021 T-duality, Jacobi forms and Witten-Gerbe modules. Zbl 1499.81081Han, Fei; Mathai, Varghese 1 2021 Proof of the magnetic gap-labelling conjecture for principal solenoidal tori. Zbl 1429.58039Benameur, Moulay Tahar; Mathai, Varghese 5 2020 The Riemann-Roch theorem on higher dimensional complex noncommutative tori. Zbl 1454.46076Mathai, Varghese; Rosenberg, Jonathan 1 2020 Positive scalar curvature and Poincaré duality for proper actions. Zbl 1443.53031Guo, Hao; Mathai, Varghese; Wang, Hang 6 2019 Topological phases on the hyperbolic plane: fractional bulk-boundary correspondence. Zbl 1480.81132Mathai, Varghese; Thiang, Guo Chuan 2 2019 Projective elliptic genera and elliptic pseudodifferential genera. Zbl 1429.58033Han, Fei; Mathai, Varghese 1 2019 T-duality simplifies bulk-boundary correspondence: the noncommutative case. Zbl 1395.58008Hannabuss, Keith C.; Mathai, Varghese; Thiang, Guo Chuan 7 2018 Gap-labelling conjecture with nonzero magnetic field. Zbl 1381.58012Benameur, Moulay Tahar; Mathai, Varghese 5 2018 T-duality in an H-flux: exchange of momentum and winding. Zbl 1403.58001Han, Fei; Mathai, Varghese 4 2018 Group dualities, T-dualities, and twisted \(K\)-theory. Zbl 1390.19011Mathai, Varghese; Rosenberg, Jonathan 3 2018 T-duality of singular spacetime compactifications in an H-flux. Zbl 1388.81575Linshaw, Andrew; Mathai, Varghese 1 2018 Spherical T-duality and the spherical Fourier-Mukai transform. Zbl 1398.81187Bouwknegt, Peter; Evslin, Jarah; Mathai, Varghese 1 2018 Quantising proper actions on \(\text{Spin}^c\)-manifolds. Zbl 1381.53085Hochs, Peter; Mathai, Varghese 11 2017 Differential topology of semimetals. Zbl 1376.82101Mathai, Varghese; Thiang, Guo Chuan 8 2017 Global topology of Weyl semimetals and Fermi arcs. Zbl 1364.82063Mathai, Varghese; Thiang, Guo Chuan 6 2017 Geometry of pseudodifferential algebra bundles and Fourier integral operators. Zbl 1397.58015Mathai, Varghese; Melrose, Richard B. 3 2017 T-duality simplifies bulk-boundary correspondence. Zbl 1353.82068Mathai, Varghese; Thiang, Guo Chuan 19 2016 T-duality simplifies bulk-boundary correspondence: some higher dimensional cases. Zbl 1354.81065Mathai, Varghese; Thiang, Guo Chuan 13 2016 \(T\)-duality simplifies bulk-boundary correspondence: the parametrised case. Zbl 1359.81181Hannabuss, Keith C.; Mathai, Varghese; Thiang, Guo Chuan 12 2016 Spin-structures and proper group actions. Zbl 1335.57046Hochs, Peter; Mathai, Varghese 6 2016 Geometric quantization and families of inner products. Zbl 1325.53115Hochs, Peter; Mathai, Varghese 18 2015 T-duality of topological insulators. Zbl 1330.82053Mathai, Varghese; Thiang, Guo Chuan 13 2015 Exotic twisted equivariant cohomology of loop spaces, twisted Bismut-Chern character and T-duality. Zbl 1325.57017Han, Fei; Mathai, Varghese 10 2015 Twisted chiral de Rham complex, generalized geometry, and T-duality. Zbl 1351.53101Linshaw, Andrew; Mathai, Varghese 7 2015 Spectral sections, twisted rho invariants and positive scalar curvature. Zbl 1342.58014Benameur, Moulay Tahar; Mathai, Varghese 5 2015 Spherical T-duality. Zbl 1315.81078Bouwknegt, Peter; Evslin, Jarah; Mathai, Varghese 4 2015 Spherical T-duality. II: An infinity of spherical T-duals for non-principal \(\mathrm{SU}(2)\)-bundles. Zbl 1315.81077Bouwknegt, Peter; Evslin, Jarah; Mathai, Varghese 4 2015 Higher abelian gauge theory associated to gerbes on noncommutative deformed M5-branes and S-duality. Zbl 1316.81078Mathai, Varghese; Sati, Hisham 3 2015 Index type invariants for twisted signature complexes and homotopy invariance. Zbl 1290.58015Benameur, Moulay Tahar; Mathai, Varghese 5 2014 T-duality for circle bundles via noncommutative geometry. Zbl 1308.81149Mathai, Varghese; Rosenberg, Jonathan 5 2014 Corrigendum to “Conformal invariants of twisted Dirac operators and positive scalar curvature”. Zbl 1283.58021Benameur, Moulay Tahar; Mathai, Varghese 1 2014 Conformal invariants of twisted Dirac operators and positive scalar curvature. Zbl 1282.58018Benameur, Moulay Tahar; Mathai, Varghese 5 2013 Holomorphic Quillen determinant line bundles on integral compact Kähler manifolds. Zbl 1280.32013Dey, Rukmini; Mathai, Varghese 3 2013 T-duality of current algebras and their quantization. Zbl 1317.81151Hekmati, Pedram; Mathai, Varghese 3 2012 Topology and flux of T-dual manifolds with circle actions. Zbl 1257.81059Mathai, Varghese; Wu, Siye 3 2012 Nonassociative strict deformation quantization of \(C^*\)-algebras and nonassociative torus bundles. Zbl 1264.46049Hannabuss, Keith C.; Mathai, Varghese 2 2012 Bundle gerbes and moduli spaces. Zbl 1230.53027Bouwknegt, Peter; Mathai, Varghese; Wu, Siye 1 2012 Analytic torsion for twisted de Rham complexes. Zbl 1238.58023Mathai, Varghese; Wu, Siye 15 2011 A noncommutative sigma-model. Zbl 1260.58004Mathai, Varghese; Rosenberg, Jonathan 10 2011 Analytic torsion of \(\mathbb{Z}_2\)-graded elliptic complexes. Zbl 1252.58020Mathai, Varghese; Wu, Siye 6 2011 Parametrized strict deformation quantization of \(C^{*}\)-bundles and Hilbert \(C^{*}\)-modules. Zbl 1218.53093Hannabuss, Keith C.; Mathai, Varghese 5 2011 Operator algebra quantum homogeneous spaces of universal gauge groups. Zbl 1242.46085Mahanta, Snigdhayan; Mathai, Varghese 3 2011 Geometric quantization for proper actions. Zbl 1211.53101Mathai, Varghese; Zhang, Weiping 23 2010 Noncommutative principal torus bundles via parametrised strict deformation quantization. Zbl 1210.81062Hannabuss, Keith C.; Mathai, Varghese 12 2010 \(C^*\)-algebras in tensor categories. Zbl 1221.46073Bouwknegt, Peter; Hannabuss, Keith C.; Mathai, Varghese 6 2010 Twisted analytic torsion. Zbl 1202.58019Mathai, Varghese; Wu, SiYe 5 2010 Non-commutative correspondences, duality and D-branes in bivariant K-theory. Zbl 1166.81032Brodzki, Jacek; Mathai, Varghese; Rosenberg, Jonathan; Szabo, Richard J. 10 2009 The index of projective families of elliptic operators: the decomposable case. Zbl 1207.19006Mathai, Varghese; Melrose, Richard B.; Singer, Isadore M. 7 2009 T-duality as a duality of loop group bundles. Zbl 1162.81409Bouwknegt, Peter; Mathai, Varghese 6 2009 Harmonic Cheeger-Simons characters with applications. Zbl 1167.58014Green, Richard; Mathai, Varghese 4 2009 The geometry of determinant line bundles in noncommutative geometry. Zbl 1181.58020Chakraborty, Partha Sarathi; Mathai, Varghese 4 2009 D-branes, RR-fields and duality on noncommutative manifolds. Zbl 1162.58008Brodzki, Jacek; Mathai, Varghese; Rosenberg, Jonathan; Szabo, Richard J. 19 2008 Entire cyclic homology of stable continuous trace algebras. Zbl 1113.19001Mathai, Varghese; Stevenson, Danny 2 2007 Nonassociative tori and applications to \(T\)-duality. Zbl 1115.46063Bouwknegt, Peter; Hannabuss, Keith; Mathai, Varghese 53 2006 Kato’s inequality and asymptotic spectral properties for discrete magnetic Laplacians. Zbl 1207.81024Dodziuk, Józef; Mathai, Varghese 29 2006 \(T\)-duality for torus bundles with H-fluxed via noncommutative topology. II: The high dimensional case and the \(T\)-duality group. Zbl 1111.81131Mathai, Varghese; Rosenberg, Jonathan 25 2006 On mysteriously missing \(T\)-duals, \(H\)-flux and the \(T\)-duality group. Zbl 1121.81107Mathai, Varghese; Rosenberg, Jonathan 15 2006 Fractional analytic index. Zbl 1115.58021Mathai, V.; Melrose, R. B.; Singer, I. M. 12 2006 On a generalised Connes-Hochschild-Kostant-Rosenberg theorem. Zbl 1098.19002Mathai, Varghese; Stevenson, Danny 12 2006 Towards the fractional quantum Hall effect: a noncommutative geometry perspective. Zbl 1105.81068Marcolli, Matilde; Mathai, Varghese 11 2006 Heat kernels and the range of the trace on completions of twisted group algebras. Zbl 1122.46053Mathai, Varghese 8 2006 Quantum Hall effect and noncommutative geometry. Zbl 1104.81088Carey, Alan L.; Hannabuss, Keith C.; Mathai, Varghese 5 2006 Flux compactifications on projective spaces and the \(S\)-duality puzzle. Zbl 1129.81062Bouwknegt, Peter; Evslin, Jarah; Jurčo, Branislav; Mathai, Varghese; Sati, Hisham 4 2006 Yang-Mills theory for bundle gerbes. Zbl 1122.53013Mathai, Varghese; Roberts, David 4 2006 \(T\)-duality for torus bundles with \(H\)-fluxes via noncommutative topology. Zbl 1078.58006Mathai, Varghese; Rosenberg, Jonathan 53 2005 \(T\)-duality for principal torus bundles and dimensionally reduced Gysin sequences. Zbl 1129.53013Bouwknegt, Peter; Hannabuss, Keith; Mathai, Varghese 33 2005 The index of projective families of elliptic operators. Zbl 1083.58021Mathai, Varghese; Melrose, Richard B.; Singer, Isadore M. 19 2005 Equivalence of spectral projections in semiclassical limit and a vanishing theorem for higher traces in \(K\)-theory. Zbl 1084.58010Kordyukov, Y.; Mathai, V.; Shubin, M. 9 2005 \(L^2\)-torsion without the determinant class condition and extended \(L^2\) cohomology. Zbl 1079.55015Braverman, Maxim; Carey, Alan; Farber, Michael; Mathai, Varghese 8 2005 \(T\)-duality: topology change from \(H\)-flux. Zbl 1062.81119Bouwknegt, Peter; Evslin, Jarah; Mathai, Varghese 100 2004 Topology and \(H\)-flux of \(T\)-dual manifolds. Zbl 1267.81264Bouwknegt, Peter; Evslin, Jarah; Mathai, Varghese 34 2004 Approximating \(L ^{2}\)-invariants and the Atiyah conjecture. Zbl 1036.58017Dodziuk, Józef; Linnell, Peter; Mathai, Varghese; Schick, Thomas; Yates, Stuart 55 2003 Chern character in twisted \(K\)-theory: Equivariant and holomorphic cases. Zbl 1030.19004Mathai, Varghese; Stevenson, Danny 24 2003 Approximating spectral invariants of Harper operators on graphs. II. Zbl 1045.47028Mathai, Varghese; Schick, Thomas; Yates, Stuart 13 2003 The Novikov conjecture for low degree cohomology classes. Zbl 1029.19006Mathai, Varghese 12 2003 Twisted \(K\)-theory and \(K\)-theory of bundle gerbes. Zbl 1036.19005Bouwknegt, Peter; Carey, Alan L.; Mathai, Varghese; Murray, Michael K.; Stevenson, Danny 94 2002 Approximating spectral invariants of Harper operators on graphs. Zbl 1041.47013Mathai, Varghese; Yates, Stuart 22 2002 Semiclassical asymptotics and gaps in the spectra of magnetic Schrödinger operators. Zbl 1007.58016Mathai, V.; Shubin, M. 6 2002 Twisted index theory on good orbifolds. II: Fractional quantum numbers. Zbl 0982.58018Marcolli, Matilde; Mathai, Varghese 15 2001 D-branes, \(B\)-fields and twisted \(K\)-theory. Zbl 0959.81037Bouwknegt, Peter; Mathai, Varghese 53 2000 Correspondences, von Neumann algebras and holomorphic \(L^2\) torsion. Zbl 0982.58023Carey, A.; Farber, M.; Mathai, V. 3 2000 Twisted index theory on good orbifolds. I: Noncommutative Bloch theory. Zbl 0959.58035Marcolli, Matilde; Mathai, Varghese 15 1999 \(K\)-theory of twisted group \(C^*\)-algebras and positive scalar curvature. Zbl 0942.46042Mathai, Varghese 7 1999 Quantum Hall effect on the hyperbolic plane in the presence of disorder. Zbl 1055.81571Carey, A.; Hannabuss, K.; Mathai, V. 6 1999 Discrete Morse theory and extended \(L^2\) homology. Zbl 0940.57035Mathai, Varghese; Yates, Stuart G. 3 1999 Quantum Hall effect on the hyperbolic plane. Zbl 0916.46057Carey, A. L.; Hannabuss, K. C.; Mathai, V.; McCann, P. 24 1998 Approximating \(L^2\) invariants of amenable covering spaces: A combinatorial approach. Zbl 0936.57018Dodziuk, Jozef; Mathai, Varghese 15 1998 \(L^ 2\) invariants of covering spaces. Zbl 0887.57003Mathai, Varghese 6 1998 Von Neumann algebra invariants of Dirac operators. Zbl 0915.58017Mathai, Varghese 2 1998 On the homotopy invariance of \(L^2\) torsion for covering spaces. Zbl 0905.58059Mathai, Varghese; Rothenberg, Melvin 2 1998 Von Neumann spectra near the spectral gap. Zbl 0911.58034Carey, Alan L.; Coulhon, Thierry; Mathai, Varghese; Phillips, John 2 1998 Determinant lines, von Neumann algebras and \(L^ 2\) torsion. Zbl 0872.46031Carey, A.; Farber, M.; Mathai, V. 9 1997 Approximating \(L^2\) invariants of amenable covering spaces: a heat kernel approach. Zbl 0910.58037Dodziuk, Józef; Mathai, Varghese 6 1997 Equivariant holomorphic Morse inequalities. I: A heat kernel proof. Zbl 0910.58006Mathai, Varghese; Wu, Siye 2 1997 Homotopy invariance of Novikov-Shubin invariants and \(L^ 2\) Betti numbers. Zbl 0885.58087Block, Jonathan; Mathai, Varghese; Weinberger, Shmuel 1 1997 Twisted \(L^2\) invariants of non-simply connected manifolds and asymptotic \(L^2\) Morse inequalities. Zbl 0909.58048Mathai, Varghese; Shubin, Mikhail 4 1996 ...and 9 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 730 Authors 65 Mathai, Varghese 21 Sati, Hisham 21 Szabo, Richard J. 18 Bismut, Jean-Michel 16 Carey, Alan L. 16 Hochs, Peter 15 Thiang, Guo Chuan 12 Lüst, Dieter 11 Benameur, Moulay-Tahar 11 Schick, Thomas 10 Plauschinn, Erik 10 Veselić, Ivan 9 Gomi, Kiyonori 9 Rosenberg, Jonathan Micah 9 Schreiber, Urs 9 Wang, Bailing 8 Bouwknegt, Peter G. 8 Lenz, Daniel H. 8 Murray, Michael K. 8 Su, Guangxiang 8 Wu, Siye 7 Blumenhagen, Ralph 7 Evslin, Jarah 7 Guo, Hao 7 Keller, Matthias 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 Deser, Andreas 6 Friedl, Stefan 6 Han, Fei 6 Hannabuss, Keith C. 6 Song, Yanli 5 Albeverio, Sergio A. 5 Baraglia, David 5 Braverman, Maxim 5 Landi, Giovanni 5 Lück, Wolfgang 5 Minasian, Ruben 5 Moore, Gregory Winthrop 5 Pennig, Ulrich 5 Schwarzenberger, Fabian 5 Uribe, Bernardo 5 Vergne, Michèle 5 Witten, Edward 4 Bunk, Severin 4 Elek, Gábor 4 Fiorenza, Domenico 4 Freed, Daniel Stuart 4 Haller, Stefan 4 Hekmati, Pedram 4 Kordyukov, Yuri A. 4 Linnell, Peter Arnold 4 Linshaw, Andrew Ross 4 Lledó, Fernando 4 Ludewig, Matthias 4 Ma, Xiaonan 4 Malek, Emanuel 4 Marcolli, Matilde 4 Mickelsson, Jouko 4 Milatovic, Ognjen 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 Wojciechowski, Radosław Krzysztof 4 Yates, Stuart G. 4 Zhang, Xin 3 Aschieri, Paolo 3 Aßelmeyer-Maluga, Torsten 3 Barnes, Gwendolyn E. 3 Ben-Bassat, Oren 3 Berwick-Evans, Daniel 3 Blau, Matthias 3 Bunke, Ulrich 3 Chatzistavrakidis, Athanasios 3 De Nittis, Giuseppe 3 Fabila-Carrasco, John Stewart 3 Farber, Michael S. 3 Fine, Dana Stanley 3 Gannon, Terry 3 Garcia, Luis E. 3 Golénia, Sylvain 3 Grady, Daniel 3 Güneysu, Batu 3 Harju, Antti J. 3 Hayashi, Shin 3 Helffer, Bernard 3 Huang, Xueping 3 Jaikin-Zapirain, Andrei ...and 630 more Authors all top 5 Cited in 147 Serials 86 Journal of Geometry and Physics 68 Communications in Mathematical Physics 50 Journal of High Energy Physics 40 Journal of Functional Analysis 31 Advances in Mathematics 26 Nuclear Physics. 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Series A 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University ...and 47 more Serials all top 5 Cited in 46 Fields 312 Quantum theory (81-XX) 281 Global analysis, analysis on manifolds (58-XX) 193 Differential geometry (53-XX) 147 \(K\)-theory (19-XX) 142 Functional analysis (46-XX) 123 Manifolds and cell complexes (57-XX) 120 Algebraic topology (55-XX) 63 Relativity and gravitational theory (83-XX) 56 Operator theory (47-XX) 52 Algebraic geometry (14-XX) 50 Topological groups, Lie groups (22-XX) 47 Partial differential equations (35-XX) 43 Statistical mechanics, structure of matter (82-XX) 28 Combinatorics (05-XX) 27 Group theory and generalizations (20-XX) 26 Nonassociative rings and algebras (17-XX) 26 Category theory; homological algebra (18-XX) 20 Associative rings and algebras (16-XX) 19 Several complex variables and analytic spaces (32-XX) 16 Dynamical systems and ergodic theory (37-XX) 15 Probability theory and stochastic processes (60-XX) 14 Number theory (11-XX) 10 Difference and functional equations (39-XX) 10 Convex and discrete geometry (52-XX) 9 Abstract harmonic analysis (43-XX) 8 Mechanics of particles and systems (70-XX) 6 Ordinary differential equations (34-XX) 5 Measure and integration (28-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Functions of a complex variable (30-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 3 Approximations and expansions (41-XX) 3 Numerical analysis (65-XX) 2 General and overarching topics; collections (00-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Real functions (26-XX) 2 Special functions (33-XX) 2 Geometry (51-XX) 2 General topology (54-XX) 2 Optics, electromagnetic theory (78-XX) 1 Commutative algebra (13-XX) 1 Potential theory (31-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Classical thermodynamics, heat transfer (80-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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