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arXiv · hep-th/0412268

T-duality for principal torus bundles and dimensionally reduced Gysin sequences

Peter Bouwknegt·Keith Hannabuss·Varghese Mathai
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Abstract

We reexamine the results on the global properties of T-duality for principal circle bundles in the context of a dimensionally reduced Gysin sequence. We will then construct a Gysin sequence for principal torus bundles and examine the consequences. In particular, we will argue that the T-dual of a principal torus bundle with nontrivial H-flux is, in general, a continuous field of noncommutative, nonassociative tori.

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Peter Bouwknegt, Keith Hannabuss, Varghese Mathai. 2004-12-24. T-duality for principal torus bundles and dimensionally reduced Gysin sequences. https://arxiv.org/abs/hep-th/0412268

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