• Corpus ID: 119312022

Parallel transport in principal 2-bundles

@article{Waldorf2017ParallelTI,
  title={Parallel transport in principal 2-bundles},
  author={Konrad Waldorf},
  journal={arXiv: Differential Geometry},
  year={2017}
}
  • K. Waldorf
  • Published 27 April 2017
  • Mathematics
  • arXiv: Differential Geometry
A nice differential-geometric framework for (non-abelian) higher gauge theory is provided by principal 2-bundles, i.e. categorified principal bundles. Their total spaces are Lie groupoids, local trivializations are kinds of Morita equivalences, and connections are Lie-2-algebra-valued 1-forms. In this article, we construct explicitly the parallel transport of a connection on a principal 2-bundle. Parallel transport along a path is a Morita equivalence between the fibres over the end points, and… 

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