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math.DG2010
A Loop Space Formulation for Geometric Lifting Problems
Konrad Waldorf
We review and then combine two aspects of the theory of bundle gerbes. The first concerns lifting bundle gerbes and connections on those, developed by Murray and Gomi. Lifting gerb…
math.DG2010
Transgression to Loop Spaces and its Inverse, II: Gerbes and Fusion Bundles with Connection
Konrad Waldorf
We prove that the category of abelian gerbes with connection over a smooth manifold is equivalent to a certain category of principal bundles over the free loop space. These bundles…