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Forum Mathematicum

Managing Editor: Bruinier, Jan Hendrik

Ed. by Brüdern, Jörg / Cohen, Frederick R. / Droste, Manfred / Duzaar, Frank / Neeb, Karl-Hermann / Noguchi, Junjiro / Shahidi, Freydoon / Sogge, Christopher D. / Wienhard, Anna

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1435-5337
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Volume 23, Issue 3 (Jan 2011)

Issues

Principal 2-bundles and their gauge 2-groups

Christoph Wockel
Published Online: 2010-04-14 | DOI: https://doi.org/10.1515/form.2011.020

Abstract

In this paper we introduce principal 2-bundles and show how they are classified by non-abelian Čech 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.

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

About the article

Received: 2009-06-19

Revised: 2009-09-20

Published Online: 2010-04-14

Published in Print: 2011-05-01


Citation Information: Forum Mathematicum, ISSN (Online) 1435-5337, ISSN (Print) 0933-7741, DOI: https://doi.org/10.1515/form.2011.020.

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