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Author ID: mathai.varghese Recent zbMATH articles by "Mathai, Varghese"
Published as: Mathai, Varghese; Mathai, V.
Homepage: https://researchers.adelaide.edu.au/profile/mathai.varghese
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Publications by Year

Citations contained in zbMATH Open

112 Publications have been cited 1,550 times in 847 Documents Cited by Year
Superconnections, Thom classes, and equivariant differential forms. Zbl 0592.55015
Mathai, Varghese; Quillen, Daniel
174
1986
\(T\)-duality: topology change from \(H\)-flux. Zbl 1062.81119
Bouwknegt, Peter; Evslin, Jarah; Mathai, Varghese
112
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
Nonassociative tori and applications to \(T\)-duality. Zbl 1115.46063
Bouwknegt, Peter; Hannabuss, Keith; Mathai, Varghese
58
2006
D-branes, \(B\)-fields and twisted \(K\)-theory. Zbl 0959.81037
Bouwknegt, Peter; Mathai, Varghese
58
2000
Approximating \(L ^{2}\)-invariants and the Atiyah conjecture. Zbl 1036.58017
Dodziuk, Józef; Linnell, Peter; Mathai, Varghese; Schick, Thomas; Yates, Stuart
58
2003
\(T\)-duality for torus bundles with \(H\)-fluxes via noncommutative topology. Zbl 1078.58006
Mathai, Varghese; Rosenberg, Jonathan
57
2005
Topology and \(H\)-flux of \(T\)-dual manifolds. Zbl 1267.81264
Bouwknegt, Peter; Evslin, Jarah; Mathai, Varghese
44
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
35
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
Quantum Hall effect on the hyperbolic plane. Zbl 0916.46057
Carey, A. L.; Hannabuss, K. C.; Mathai, V.; McCann, P.
29
1998
\(L^ 2\)-analytic torsion. Zbl 0756.58047
Mathai, Varghese
27
1992
Chern character in twisted \(K\)-theory: Equivariant and holomorphic cases. Zbl 1030.19004
Mathai, Varghese; Stevenson, Danny
24
2003
Geometric quantization for proper actions. Zbl 1211.53101
Mathai, Varghese; Zhang, Weiping
23
2010
Approximating spectral invariants of Harper operators on graphs. Zbl 1041.47013
Mathai, Varghese; Yates, Stuart
23
2002
D-branes, RR-fields and duality on noncommutative manifolds. Zbl 1162.58008
Brodzki, Jacek; Mathai, Varghese; Rosenberg, Jonathan; Szabo, Richard J.
20
2008
The index of projective families of elliptic operators. Zbl 1083.58021
Mathai, Varghese; Melrose, Richard B.; Singer, Isadore M.
20
2005
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
\(L^ 2\)-torsion invariants. Zbl 0771.57009
Carey, Alan L.; Mathai, Varghese
17
1992
Twisted index theory on good orbifolds. I: Noncommutative Bloch theory. Zbl 0959.58035
Marcolli, Matilde; Mathai, Varghese
17
1999
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
Towards the fractional quantum Hall effect: a noncommutative geometry perspective. Zbl 1105.81068
Marcolli, Matilde; Mathai, Varghese
13
2006
Spectral flow, eta invariants, and von Neumann algebras. Zbl 0783.57015
Mathai, Varghese
13
1992
Noncommutative principal torus bundles via parametrised strict deformation quantization. Zbl 1210.81062
Hannabuss, Keith C.; Mathai, Varghese
13
2010
\(T\)-duality simplifies bulk-boundary correspondence: the parametrised case. Zbl 1359.81181
Hannabuss, Keith C.; Mathai, Varghese; Thiang, Guo Chuan
13
2016
Approximating spectral invariants of Harper operators on graphs. II. Zbl 1045.47028
Mathai, Varghese; Schick, Thomas; Yates, Stuart
13
2003
A noncommutative sigma-model. Zbl 1260.58004
Mathai, Varghese; Rosenberg, Jonathan
12
2011
Fractional analytic index. Zbl 1115.58021
Mathai, V.; Melrose, R. B.; Singer, I. M.
12
2006
Quantising proper actions on \(\text{Spin}^c\)-manifolds. Zbl 1381.53085
Hochs, Peter; Mathai, Varghese
12
2017
T-duality simplifies bulk-boundary correspondence: some higher dimensional cases. Zbl 1354.81065
Mathai, Varghese; Thiang, Guo Chuan
12
2016
On a generalised Connes-Hochschild-Kostant-Rosenberg theorem. Zbl 1098.19002
Mathai, Varghese; Stevenson, Danny
12
2006
The Novikov conjecture for low degree cohomology classes. Zbl 1029.19006
Mathai, Varghese
12
2003
Differential topology of semimetals. Zbl 1376.82101
Mathai, Varghese; Thiang, Guo Chuan
11
2017
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
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
Quantum Hall effect and noncommutative geometry. Zbl 1104.81088
Carey, Alan L.; Hannabuss, Keith C.; 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
Heat kernels and the range of the trace on completions of twisted group algebras. Zbl 1122.46053
Mathai, Varghese
9
2006
Quantum Hall effect on the hyperbolic plane in the presence of disorder. Zbl 1055.81571
Carey, A.; Hannabuss, K.; Mathai, V.
8
1999
\(K\)-theory of twisted group \(C^*\)-algebras and positive scalar curvature. Zbl 0942.46042
Mathai, Varghese
8
1999
Global topology of Weyl semimetals and Fermi arcs. Zbl 1364.82063
Mathai, Varghese; Thiang, Guo Chuan
8
2017
\(L^2\)-torsion without the determinant class condition and extended \(L^2\) cohomology. Zbl 1079.55015
Braverman, Maxim; Carey, Alan; Farber, Michael; Mathai, Varghese
8
2005
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
\(C^*\)-algebras in tensor categories. Zbl 1221.46073
Bouwknegt, Peter; Hannabuss, Keith C.; Mathai, Varghese
7
2010
The index of projective families of elliptic operators: the decomposable case. Zbl 1207.19006
Mathai, Varghese; Melrose, Richard B.; Singer, Isadore M.
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
Coarse geometry and Callias quantisation. Zbl 1457.19008
Guo, Hao; Hochs, Peter; Mathai, Varghese
7
2021
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
Parametrized strict deformation quantization of \(C^{*}\)-bundles and Hilbert \(C^{*}\)-modules. Zbl 1218.53093
Hannabuss, Keith C.; Mathai, Varghese
6
2011
Semiclassical asymptotics and gaps in the spectra of magnetic Schrödinger operators. Zbl 1007.58016
Mathai, V.; Shubin, M.
6
2002
T-duality for circle bundles via noncommutative geometry. Zbl 1308.81149
Mathai, Varghese; Rosenberg, Jonathan
6
2014
Spin-structures and proper group actions. Zbl 1335.57046
Hochs, Peter; Mathai, Varghese
6
2016
Analytic torsion of \(\mathbb{Z}_2\)-graded elliptic complexes. Zbl 1252.58020
Mathai, Varghese; Wu, Siye
6
2011
Proof of the magnetic gap-labelling conjecture for principal solenoidal tori. Zbl 1429.58039
Benameur, Moulay Tahar; Mathai, Varghese
5
2020
Twisted analytic torsion. Zbl 1202.58019
Mathai, Varghese; Wu, SiYe
5
2010
Non-negative scalar curvature. Zbl 0815.53048
Mathai, Varghese
5
1992
Spherical T-duality. Zbl 1315.81078
Bouwknegt, Peter; Evslin, Jarah; 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
Topological phases on the hyperbolic plane: fractional bulk-boundary correspondence. Zbl 1480.81132
Mathai, Varghese; Thiang, Guo Chuan
5
2019
Spectral sections, twisted rho invariants and positive scalar curvature. Zbl 1342.58014
Benameur, Moulay Tahar; Mathai, Varghese
5
2015
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
Harmonic Cheeger-Simons characters with applications. Zbl 1167.58014
Green, Richard; Mathai, Varghese
4
2009
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
The geometry of determinant line bundles in noncommutative geometry. Zbl 1181.58020
Chakraborty, Partha Sarathi; Mathai, Varghese
4
2009
T-duality of current algebras and their quantization. Zbl 1317.81151
Hekmati, Pedram; Mathai, Varghese
4
2012
Twisted \(L^2\) invariants of non-simply connected manifolds and asymptotic \(L^2\) Morse inequalities. Zbl 0909.58048
Mathai, Varghese; Shubin, Mikhail
4
1996
T-duality in an H-flux: exchange of momentum and winding. Zbl 1403.58001
Han, Fei; Mathai, Varghese
4
2018
Positive scalar curvature and an equivariant Callias-type index theorem for proper actions. Zbl 1484.53087
Guo, Hao; Hochs, Peter; Mathai, Varghese
4
2021
The Riemann-Roch theorem on higher dimensional complex noncommutative tori. Zbl 1454.46076
Mathai, Varghese; Rosenberg, Jonathan
3
2020
Inequalities for the Novikov-Shubin invariants. Zbl 0858.58046
Mathai, Varghese
3
1996
Topology and flux of T-dual manifolds with circle actions. Zbl 1257.81059
Mathai, Varghese; Wu, Siye
3
2012
Higher abelian gauge theory associated to gerbes on noncommutative deformed M5-branes and S-duality. Zbl 1316.81078
Mathai, Varghese; Sati, Hisham
3
2015
Holomorphic Quillen determinant line bundles on integral compact Kähler manifolds. Zbl 1280.32013
Dey, Rukmini; Mathai, Varghese
3
2013
L\({}^ 2\)-acyclicity and \(L^ 2\)-torsion invariants. Zbl 0726.57018
Mathai, Varghese; Carey, Alan L.
3
1990
Correspondences, von Neumann algebras and holomorphic \(L^2\) torsion. Zbl 0982.58023
Carey, A.; Farber, M.; Mathai, V.
3
2000
Discrete Morse theory and extended \(L^2\) homology. Zbl 0940.57035
Mathai, Varghese; Yates, Stuart G.
3
1999
Group dualities, T-dualities, and twisted \(K\)-theory. Zbl 1390.19011
Mathai, Varghese; Rosenberg, Jonathan
3
2018
Operator algebra quantum homogeneous spaces of universal gauge groups. Zbl 1242.46085
Mahanta, Snigdhayan; Mathai, Varghese
3
2011
Exotic Courant algebroids and T-duality. Zbl 1464.53105
Crilly, Jaklyn; Mathai, Varghese
3
2021
Entire cyclic homology of stable continuous trace algebras. Zbl 1113.19001
Mathai, Varghese; Stevenson, Danny
2
2007
Heat kernels and Thom forms. Zbl 0774.58039
Mathai, Varghese
2
1992
On the homotopy invariance of \(L^2\) torsion for covering spaces. Zbl 0905.58059
Mathai, Varghese; Rothenberg, Melvin
2
1998
Von Neumann algebra invariants of Dirac operators. Zbl 0915.58017
Mathai, Varghese
2
1998
Nonassociative strict deformation quantization of \(C^*\)-algebras and nonassociative torus bundles. Zbl 1264.46049
Hannabuss, Keith C.; Mathai, Varghese
2
2012
\(L^ 2\) Reidemeister-Franz torsion. Zbl 0686.57009
Carey, A. L; Mathai, Varghese
2
1989
Von Neumann spectra near the spectral gap. Zbl 0911.58034
Carey, Alan L.; Coulhon, Thierry; Mathai, Varghese; Phillips, John
2
1998
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
4
2021
Exotic Courant algebroids and T-duality. Zbl 1464.53105
Crilly, Jaklyn; Mathai, Varghese
3
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
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
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
5
2019
Fractional quantum numbers via complex orbifolds. Zbl 1437.81210
Mathai, Varghese; Wilkin, Graeme
1
2019
Projective elliptic genera and elliptic pseudodifferential genera. Zbl 1429.58033
Han, Fei; Mathai, Varghese
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
Spherical T-duality. Zbl 1315.81078
Bouwknegt, Peter; Evslin, Jarah; 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
Spectral sections, twisted rho invariants and positive scalar curvature. Zbl 1342.58014
Benameur, Moulay Tahar; Mathai, Varghese
5
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
12
2011
Parametrized strict deformation quantization of \(C^{*}\)-bundles and Hilbert \(C^{*}\)-modules. Zbl 1218.53093
Hannabuss, Keith C.; Mathai, Varghese
6
2011
Analytic torsion of \(\mathbb{Z}_2\)-graded elliptic complexes. Zbl 1252.58020
Mathai, Varghese; Wu, Siye
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
7
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
Harmonic Cheeger-Simons characters with applications. Zbl 1167.58014
Green, Richard; Mathai, Varghese
4
2009
The geometry of determinant line bundles in noncommutative geometry. Zbl 1181.58020
Chakraborty, Partha Sarathi; 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
58
2006
Kato’s inequality and asymptotic spectral properties for discrete magnetic Laplacians. Zbl 1207.81024
Dodziuk, Józef; Mathai, Varghese
35
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
Fractional analytic index. Zbl 1115.58021
Mathai, V.; Melrose, R. B.; Singer, I. M.
12
2006
On a generalised Connes-Hochschild-Kostant-Rosenberg theorem. Zbl 1098.19002
Mathai, Varghese; Stevenson, Danny
12
2006
Quantum Hall effect and noncommutative geometry. Zbl 1104.81088
Carey, Alan L.; Hannabuss, Keith C.; Mathai, Varghese
9
2006
Heat kernels and the range of the trace on completions of twisted group algebras. Zbl 1122.46053
Mathai, Varghese
9
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
112
2004
Topology and \(H\)-flux of \(T\)-dual manifolds. Zbl 1267.81264
Bouwknegt, Peter; Evslin, Jarah; Mathai, Varghese
44
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
58
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
Quantum Hall effect on the hyperbolic plane in the presence of disorder. Zbl 1055.81571
Carey, A.; Hannabuss, K.; Mathai, V.
8
1999
\(K\)-theory of twisted group \(C^*\)-algebras and positive scalar curvature. Zbl 0942.46042
Mathai, Varghese
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.
29
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
On the homotopy invariance of \(L^2\) torsion for covering spaces. Zbl 0905.58059
Mathai, Varghese; Rothenberg, Melvin
2
1998
Von Neumann algebra invariants of Dirac operators. Zbl 0915.58017
Mathai, Varghese
2
1998
Von Neumann spectra near the spectral gap. Zbl 0911.58034
Carey, Alan L.; Coulhon, Thierry; Mathai, Varghese; Phillips, John
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 top 5

Cited by 803 Authors

69 Mathai, Varghese
27 Sati, Hisham
22 Szabo, Richard J.
18 Bismut, Jean-Michel
17 Carey, Alan L.
16 Hochs, Peter
16 Thiang, Guo Chuan
15 Schreiber, Urs
13 Schick, Thomas
12 Lüst, Dieter
11 Benameur, Moulay-Tahar
11 Plauschinn, Erik
10 Veselić, Ivan
9 Bouwknegt, Peter G.
9 Gomi, Kiyonori
9 Guo, Hao
9 Keller, Matthias
9 Lenz, Daniel H.
9 Rosenberg, Jonathan Micah
9 Wang, Bailing
8 Blumenhagen, Ralph
8 Deser, Andreas
8 Minasian, Ruben
8 Murray, Michael K.
8 Su, Guangxiang
8 Wu, Siye
7 Evslin, Jarah
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 Golénia, Sylvain
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 Blau, Matthias
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 Rennecke, Felix
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
3 Alfonsi, Luigi
3 Aschieri, Paolo
3 Aßelmeyer-Maluga, Torsten
3 Barnes, Gwendolyn E.
3 Ben-Bassat, Oren
3 Berwick-Evans, Daniel
3 Bonnefont, Michel
3 Chatzistavrakidis, Athanasios
3 Cuzinatto, Rodrigo Rocha
3 de Montigny, Marc
3 De Nittis, Giuseppe
3 Fabila-Carrasco, John Stewart
3 Farber, Michael S.
3 Fine, Dana Stanley
...and 703 more Authors
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Cited in 157 Serials

90 Journal of Geometry and Physics
69 Communications in Mathematical Physics
54 Journal of High Energy Physics
42 Journal of Functional Analysis
34 Nuclear Physics. B
32 Advances in Mathematics
25 Letters in Mathematical Physics
23 Journal of Mathematical Physics
22 Reviews in Mathematical Physics
19 Proceedings of the American Mathematical Society
19 Journal of Noncommutative Geometry
17 Transactions of the American Mathematical Society
14 Fortschritte der Physik
14 Algebraic & Geometric Topology
11 Annales Henri Poincaré
9 Annales de l’Institut Fourier
8 Mathematische Annalen
8 Mathematische Zeitschrift
8 Comptes Rendus. Mathématique. Académie des Sciences, Paris
8 International Journal of Geometric Methods in Modern Physics
8 Journal of Physics A: Mathematical and Theoretical
8 Annals of \(K\)-Theory
7 International Journal of Modern Physics A
7 Inventiones Mathematicae
7 Mathematical Physics, Analysis and Geometry
7 Communications in Contemporary Mathematics
6 Geometric and Functional Analysis. GAFA
6 Geometry & Topology
6 Journal of Topology and Analysis
6 Journal of \(K\)-Theory
5 Israel Journal of Mathematics
5 Integral Equations and Operator Theory
5 International Journal of Mathematics
5 Differential Geometry and its Applications
5 Journal of the Australian Mathematical Society
5 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
5 Journal of Homotopy and Related Structures
5 Science China. Mathematics
4 Mathematical Proceedings of the Cambridge Philosophical Society
4 Theoretical and Mathematical Physics
4 Duke Mathematical Journal
4 Geometriae Dedicata
4 Journal für die Reine und Angewandte Mathematik
4 Journal of the American Mathematical Society
4 Journal of Topology
3 Classical and Quantum Gravity
3 Journal of Mathematical Analysis and Applications
3 Physics Letters. B
3 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
3 Journal of the London Mathematical Society. Second Series
3 Topology and its Applications
3 Linear Algebra and its Applications
3 Bulletin of the American Mathematical Society. New Series
3 Quantum Information Processing
3 Journal of the Institute of Mathematics of Jussieu
3 Proceedings of the Steklov Institute of Mathematics
3 Journal of Spectral Theory
3 Complex Manifolds
2 Modern Physics Letters A
2 General Relativity and Gravitation
2 Physics Letters. A
2 Reports on Mathematical Physics
2 Bulletin of the London Mathematical Society
2 Bulletin de la Société Mathématique de France
2 Compositio Mathematica
2 Illinois Journal of Mathematics
2 Journal of Pure and Applied Algebra
2 Pacific Journal of Mathematics
2 Results in Mathematics
2 Chinese Annals of Mathematics. Series B
2 Annals of Global Analysis and Geometry
2 The Journal of Geometric Analysis
2 Expositiones Mathematicae
2 Journal of Knot Theory and its Ramifications
2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. 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 Documenta Mathematica
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 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV)
1 Journal of Statistical Physics
1 Physics Reports
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 Manuscripta Mathematica
1 Mathematische Nachrichten
1 Memoirs of the American Mathematical Society
1 Michigan Mathematical Journal
...and 57 more Serials
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Cited in 48 Fields

354 Quantum theory (81-XX)
299 Global analysis, analysis on manifolds (58-XX)
212 Differential geometry (53-XX)
160 \(K\)-theory (19-XX)
154 Functional analysis (46-XX)
132 Manifolds and cell complexes (57-XX)
129 Algebraic topology (55-XX)
71 Relativity and gravitational theory (83-XX)
68 Operator theory (47-XX)
61 Algebraic geometry (14-XX)
55 Topological groups, Lie groups (22-XX)
55 Partial differential equations (35-XX)
46 Statistical mechanics, structure of matter (82-XX)
35 Combinatorics (05-XX)
30 Group theory and generalizations (20-XX)
29 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)
18 Probability theory and stochastic processes (60-XX)
17 Dynamical systems and ergodic theory (37-XX)
16 Number theory (11-XX)
12 Difference and functional equations (39-XX)
11 Abstract harmonic analysis (43-XX)
10 Convex and discrete geometry (52-XX)
9 Ordinary differential equations (34-XX)
8 Mechanics of particles and systems (70-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)

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