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Principal 2-bundles and their gauge 2-groups

Principal 2-bundles and their gauge 2-groups In this paper we introduce principal 2-bundles and show how they are classified by non-abelian ČČech cohomology. Moreover, we show that their gauge 2-groups can be described by 2-group-valued functors, much like in classical bundle theory. Using this, we show that, under some mild requirements, these gauge 2-groups possess a natural smooth structure. In the last section we provide some explicit examples. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Forum Mathematicum de Gruyter

Principal 2-bundles and their gauge 2-groups

Forum Mathematicum , Volume 23 (3) – May 1, 2011

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References (67)

Publisher
de Gruyter
Copyright
©© de Gruyter 2011
ISSN
0933-7741
eISSN
1435-5337
DOI
10.1515/FORM.2011.020
Publisher site
See Article on Publisher Site

Abstract

In this paper we introduce principal 2-bundles and show how they are classified by non-abelian ČČech cohomology. Moreover, we show that their gauge 2-groups can be described by 2-group-valued functors, much like in classical bundle theory. Using this, we show that, under some mild requirements, these gauge 2-groups possess a natural smooth structure. In the last section we provide some explicit examples.

Journal

Forum Mathematicumde Gruyter

Published: May 1, 2011

Keywords: Principal bundle; Lie groupoid; categorical Lie group; Morita equivalence

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