Bunke, Ulrich and Schick, Thomas and Spitzweck, Markus (2011) PERIODIC TWISTED COHOMOLOGY AND T-DUALITY. ASTERISQUE (337). 1-+. ISSN 0303-1179,
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Using the differentiable structure, twisted 2-periodic de Rham cohomology is well known, and showing up as the target of Chern characters for twisted K-theory. The main motivation of this work is a topological interpretation of two-periodic twisted de Rham cohomology which is generalizable to arbitrary topological spaces and at the same time to arbitrary coefficients. To this end we develop a sheaf theory in the context of locally compact topological stacks with emphasis on: - the construction of the sheaf theory operations in unbounded derived categories - elements of Verdier duality - and integration. The main result is the construction of a functorial periodization associated to a U(1)-gerbe. As an application we verify the T-duality isomorphism in periodic twisted cohomology and in periodic twisted orbispace cohomology.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | ARTIN STACKS; K-THEORY; TOPOLOGY; SHEAVES; |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics > Prof. Dr. Ulrich Bunke |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 29 Jun 2020 05:44 |
| Last Modified: | 29 Jun 2020 05:44 |
| URI: | https://pred.uni-regensburg.de/id/eprint/21405 |
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