Bunke, Ulrich and Schick, Thomas and Spitzweck, Markus (2007) Sheaf theory for stacks in manifolds and twisted cohomology for S-1-gerbes. ALGEBRAIC AND GEOMETRIC TOPOLOGY, 7. pp. 1007-1062. ISSN 1472-2739,
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In this paper we give a sheaf theory interpretation of the twisted cohomology of manifolds. To this end we develop a sheaf theory on smooth stacks. The derived push-forward of the constant sheaf with value R along the structure map of a U(1) gerbe over a smooth manifold X is an object of the derived category of sheaves on X. Our main result shows that it is isomorphic in this derived category to a sheaf of twisted de Rham complexes.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | BUNDLE GERBES; K-THEORY; |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics > Prof. Dr. Ulrich Bunke |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 23 Dec 2020 12:06 |
| Last Modified: | 23 Dec 2020 12:06 |
| URI: | https://pred.uni-regensburg.de/id/eprint/33311 |
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