Principal 2-bundles and their gauge 2-groups

Christoph Wockel 1
  • 1 Department Mathematik, Universität Hamburg, Bundesstraße 55, 20146 Hamburg, Germany.

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.

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