Topological T-duality for general circle bundles
Date
2014
Authors
Baraglia, D.
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Pure and Applied Mathematics Quarterly, 2014; 10(3):367-438
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David Baraglia
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Abstract
We extend topological T-duality to the case of general circle bundles. In this setting we prove existence and uniqueness of T-duals. We then show that T-dual spaces have isomorphic twisted cohomology, twisted K-theory and Courant algebroids. A novel feature is that we must consider two kinds of twists in de Rham cohomology and K-theory, namely by degree 3 integral classes and a less familiar kind of twist using real line bundles. We give some examples of T-dual non-oriented circle bundles and calculate their twisted K-theory.
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