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T-Duality: Topology Change from H-Flux
- P. Bouwknegt, J. Evslin, V. Mathai
- Mathematics
- 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…
Twisted K-Theory and K-Theory of Bundle Gerbes
- P. Bouwknegt, A. Carey, V. Mathai, M. Murray, D. Stevenson
- Mathematics
- 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…
T-Duality for Torus Bundles with H-Fluxes via Noncommutative Topology
- V. Mathai, J. Rosenberg
- Mathematics
- 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…
T-duality for principal torus bundles
- P. Bouwknegt, K. Hannabuss, V. Mathai
- Mathematics
- 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…
Superconnections, thom classes, and equivariant differential forms
- V. Mathai, D. Quillen
- Mathematics
- 1986
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…
D-branes, B fields and twisted K theory
- P. Bouwknegt, V. Mathai
- 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…
Nonassociative Tori and Applications to T-Duality
- P. Bouwknegt, K. Hannabuss, V. Mathai
- Mathematics
- 8 December 2004
In this paper, we initiate the study of C*-algebras endowed with a twisted action of a locally compact abelian Lie group , and we construct a twisted crossed product , which is in general a…
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