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• W2611117464 abstract "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 parallel transport along a surface is an intertwiner between Morita equivalences. We prove that our constructions fit into the general axiomatic framework for categorified parallel transport and surface holonomy." @default.
• W2611117464 created "2017-05-12" @default.
• W2611117464 creator A5087122940 @default.
• W2611117464 date "2017-04-27" @default.
• W2611117464 modified "2023-09-27" @default.
• W2611117464 title "Parallel transport in principal 2-bundles" @default.
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