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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

230 40- 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 25- 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

151 12- PDF

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

199 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

On a generalised Connes–Hochschild–Kostant–Rosenberg theorem

- V. Mathai, D. Stevenson
- Mathematics, Physics
- 19 April 2004

The central result of this paper is an explicit computation of the Hochschild and cyclic homologies of a natural smooth subalgebra of stable continuous trace algebras having smooth manifolds X as… Expand

33 8- 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

Approximating L2-invariants and the Atiyah conjecture

- J. Dodziuk, P. Linnell, V. Mathai, T. Schick, S. Yates
- Mathematics
- 6 July 2001

Let G be a torsion-free discrete group, and let ℚ denote the field of algebraic numbers in ℂ. We prove that ℚG fulfills the Atiyah conjecture if G lies in a certain class of groups D, which contains… Expand

105 7- PDF