Topological T-duality for torus bundles with monodromy

Details Topological T-duality for torus bundles with monodromy Topological T-duality for torus bundles with monodromy

2012-01-09

arxiv.org/abs/1201.1731v1

Mathematics

Differential Geometry

49 pages

Scientific paper

We give a simplified definition of topological T-duality that applies to arbitrary torus bundles. The new definition does not involve Chern classes or spectral sequences, only gerbes and morphisms between them. All the familiar topological conditions for T-duals are shown to follow. We determine necessary and sufficient conditions for existence of a T-dual in the case of affine torus bundles. This is general enough to include all principal torus bundles as well as torus bundles with arbitrary monodromy representations. We show that isomorphisms in twisted cohomology, twisted K-theory and of Courant algebroids persist in this general setting. We also give an example where twisted K-theory groups can be computed by iterating T-duality.

Affiliated with

Also associated with

No associations

Rating

Topological T-duality for torus bundles with monodromy does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Topological T-duality for torus bundles with monodromy, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Topological T-duality for torus bundles with monodromy will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-643195