Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1892621 | Journal of Geometry and Physics | 2016 | 27 Pages |
Abstract
In this paper we introduce a notion of parallel transport for principal bundles with connections over differentiable stacks. We show that principal bundles with connections over stacks can be recovered from their parallel transport thereby extending the results of Barrett, Caetano and Picken, and Schreiber and Waldorf from manifolds to stacks.In the process of proving our main result we simplify Schreiber and Waldorf’s original definition of a transport functor for principal bundles with connections over manifolds and provide a more direct proof of the correspondence between principal bundles with connections and transport functors.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Brian Collier, Eugene Lerman, Seth Wolbert,