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Publications Influence

T-Duality: Topology Change from H-Flux

- P. Bouwknegt, J. Evslin, V. Mathai
- Mathematics, Physics
- 9 June 2003

T-duality acts on circle bundles by exchanging the first Chern class with the fiberwise integral of the H-flux, as we motivate using E8 and also using S-duality. We present known and new examples… Expand

231 37- PDF

Twisted K-Theory and K-Theory of Bundle Gerbes

- P. Bouwknegt, A. Carey, V. Mathai, M. Murray, D. Stevenson
- Mathematics, Physics
- 21 June 2001

Abstract: In this note we introduce the notion of bundle gerbe K-theory and investigate the relation to twisted K-theory. We provide some examples. Possible applications of bundle gerbe K-theory to… Expand

249 24- PDF

T-Duality for Torus Bundles with H-Fluxes via Noncommutative Topology

- V. Mathai, J. Rosenberg
- Mathematics, Physics
- 23 January 2004

It is known that the T-dual of a circle bundle with H-flux (given by a Neveu-Schwarz 3-form) is the T-dual circle bundle with dual H-flux. However, it is also known that torus bundles with H-flux do… Expand

150 12- PDF

L2-analytic torsion

- V. Mathai
- Mathematics
- 1 August 1992

Abstract In this paper, we introduce a new differential invariant called L2-analytic torsion, for closed manifolds with positive decay and whose universal covers have trivial L2-cohomology.… Expand

96 12

Superconnections, thom classes, and equivariant differential forms

- V. Mathai, D. Quillen
- Mathematics
- 1986

329 10

T-duality for principal torus bundles

- P. Bouwknegt, K. Hannabuss, V. Mathai
- Physics
- 23 December 2003

In this paper we study T-duality for principal torus bundles with H-flux. We identify a subset of fluxes which are T-dualizable, and compute both the dual torus bundle as well as the dual H-flux. We… Expand

68 10- PDF

D-branes, B fields and twisted K theory

- P. Bouwknegt, V. Mathai
- Physics, Mathematics
- 2 February 2000

In this note we propose that D-brane charges, in the presence of a topologically non-trivial B-field, are classified by the K-theory of an infinite dimensional C*-algebra. In the case of B-fields… Expand

198 9- PDF

Geometric quantization for proper actions

We first introduce an invariant index for G-equivariant elliptic differential operators on a locally compact manifold M admitting a proper cocompact action of a locally compact group G. It… Expand

32 9- PDF

Analytic torsion for twisted de Rham complexes

We dene analytic torsion (X;E; H) 2 det H (X;E; H) for the twisted de Rham complex, consisting of the spaces of dieren tial forms on a compact oriented Riemannian man- ifold X valued in a at vector… Expand

33 8- PDF

FRACTIONAL ANALYTIC INDEX

- V. Mathai, R. Melrose, I. Singer
- Mathematics, Physics
- 20 February 2004

For a finite rank projective bundle over a compact manifold, so associated to a torsion, Dixmier-Douady, 3-class, w, on the manifold, we define the ring of dierential operators 'acting on sections of… Expand

38 8- PDF

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