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

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

Description

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.

CollectionsANU Research Publications
Date published: 2005
Type: Journal article
URI: http://hdl.handle.net/1885/73661
Source: Advances in Theoretical and Mathematical Physics

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