Advances in Theoretical and Mathematical Physics
Volume 9 (2005)
T-duality for principal torus bundles and dimensionally reduced Gysin sequences
Pages: 749 – 773
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.