Nikolaus, Thomas and Waldorf, Konrad (2013) FOUR EQUIVALENT VERSIONS OF NONABELIAN GERBES. PACIFIC JOURNAL OF MATHEMATICS, 264 (2). pp. 355-419. ISSN 0030-8730,
Full text not available from this repository. (Request a copy)Abstract
We recall and partially improve four versions of smooth, nonabelian gerbes: Cech cocycles, classifying maps, bundle gerbes, and principal 2-bundles. We prove that all four versions are equivalent, and so establish new relations between interesting recent developments. Prominent partial results that we prove are a bijection between the continuous and smooth nonabelian cohomology, and an explicit equivalence between bundle gerbes and principal 2-bundles as 2-stacks.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | BUNDLE GERBES; DIFFERENTIAL GEOMETRY; GAUGE-THEORY; 2-GROUP; STACKS; nonabelian gerbe; principal 2-bundle; 2-group; nonabelian cohomology; 2-stack |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 03 Apr 2020 13:41 |
| Last Modified: | 03 Apr 2020 13:41 |
| URI: | https://pred.uni-regensburg.de/id/eprint/16292 |
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