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

Bouwknegt, Peter; Hannabuss, Keith; Mathai, Varghese

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

Authors

Bouwknegt, Peter

Hannabuss, Keith

Mathai, Varghese

Description

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.
21 pages, typos corrected