A new approach to topological T-duality for principal torus bundles

Tom Dove; Thomas Schick

doi:10.1142/s0129055x2450034x

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arXiv · 2104.05984

A new approach to topological T-duality for principal torus bundles

Tom Dove·Thomas Schick

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Abstract

We introduce a new `Thom class' formulation of topological T-duality for principal torus bundles. This definition is equivalent to the established one of Bunke, Rumpf, and Schick but has the virtue of removing the global assumptions on the H-flux required in the old definition. With the new definition, we provide easier and more transparent proofs of the classification of T-duals and generalise the local formulation of T-duality for circle bundles by Bunke, Schick, and Spitzweck to the torus case.

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BibTeX RIS

Tom Dove, Thomas Schick. 2021-04-13. A new approach to topological T-duality for principal torus bundles. https://doi.org/10.1142/s0129055x2450034x

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