Principal 2-bundles and their gauge 2-groups
Differential Geometry
2011-09-08 v4 Category Theory
Abstract
In this paper we introduce principal 2-bundles and show how they are classified by non-abelian Cech 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.
Cite
@article{arxiv.0803.3692,
title = {Principal 2-bundles and their gauge 2-groups},
author = {Christoph Wockel},
journal= {arXiv preprint arXiv:0803.3692},
year = {2011}
}
Comments
40 pages; v3: completely revised and extended, classification corrected, name changed, to appear in Forum Math