A Cech Dimensionally Reduced Gysin Sequence for Principal Torus Bundles

Details A Cech Dimensionally Reduced Gysin Sequence for Principal Torus Bundles A Cech Dimensionally Reduced Gysin Sequence for Principal Torus Bundles

2011-09-26

arxiv.org/abs/1109.5742v1

Mathematics

Geometric Topology

30 pages

Scientific paper

In this paper we construct Cech cohomology groups that form a Gysin-type long
exact sequence for principal torus bundles. This sequence is modeled on a de
Rham cohomology sequence published in earlier work by Bouwknegt, Hannabuss and
Mathai, which was developed to compute the global properties of T-duality in
the presence of NS H-Flux.

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