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Type: Journal article
Title: Topological T-duality for torus bundles with monodromy
Author: Baraglia, D.
Citation: Reviews in Mathematical Physics: a journal for survey and expository articles in the field of mathematical physics, 2015; 27(3):1550008-1-1550008-55
Publisher: World Scientific Publishing Co Pte Ltd
Issue Date: 2015
ISSN: 0129-055X
Statement of
David Baraglia
Abstract: 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.
Keywords: T-duality; gerbes; twisted K-theory; monodromy
Rights: © World Scientific Publishing Company. Copyright of Reviews in Mathematical Physics is the property of World Scientific Publishing Company and its content may not be copied or emailed to multiple sites or posted to a listserv without the copyright holder's express written permission. However, users may print, download, or email articles for individual use.
DOI: 10.1142/S0129055X15500087
Appears in Collections:Aurora harvest 7
Mathematical Sciences publications

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