T-Duality for Principal Torus Bundles and Dimensionally Reduced Gysin Sequences

Bouwknegt, Pier (Peter); Hannabuss, Keith; Mathai, Varghese

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T-Duality for Principal Torus Bundles and Dimensionally Reduced Gysin Sequences

Date

2005

Authors

Bouwknegt, Pier (Peter)

Hannabuss, Keith

Mathai, Varghese

Publisher

International Press

Abstract

We reexamine the effects of T-duality on the global properties for principal circle bundles in the context of a dimensionally reduced Gysin sequence. We then construct a Gysin sequence for principal torus bundles and examine the consequences. In particular, we 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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http://hdl.handle.net/1885/73661

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ANU Research Publications

Source

Advances in Theoretical and Mathematical Physics

Type

Journal article

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T-Duality for Principal Torus Bundles and Dimensionally Reduced Gysin Sequences

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