A Cubical Set Approach to 2-Bundles with Connection and Wilson Surfaces

Details A Cubical Set Approach to 2-Bundles with Connection and Wilson Surfaces A Cubical Set Approach to 2-Bundles with Connection and Wilson Surfaces

2008-08-28

arxiv.org/abs/0808.3964v3

Mathematics

Category Theory

Improvement on the exposition. Approximately 60 pages, 2 figures

Scientific paper

In the context of non-abelian gerbes we define a cubical version of
categorical group 2-bundles with connection over a smooth manifold. We define
their two-dimensional parallel transport, study its properties, and define
non-abelian Wilson surface functionals.

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