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null Brüdern, Jörg / Bruinier, Jan Hendrik / Cohen, Frederick R. / Droste, Manfred / Duzaar, Frank / Gallavotti, Giovanni / Garnier, Josselin / Neeb, Karl-Hermann / Noguchi, Junjiro / Segal, Dan / Freydoon, Shahidi / Shigekawa, Ichiro / Sogge, Christopher D. / Strambach, Karl
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1Department Mathematik, Universität Hamburg, Bundesstraße 55, 20146 Hamburg, Germany.
Citation Information: Forum Mathematicum. Volume 23, Issue 3, Pages 565–610, ISSN (Online) 1435-5337, ISSN (Print) 0933-7741, DOI: 10.1515/form.2011.020, April 2010
Publication History:
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
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