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Transgression of Bundle Gerbes to Loop Spaces and its Inverse

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Speaker: 
Konrad Waldorf
Affiliation: 
Berkeley
Date: 
Tue, 22/06/2010 - 14:00 - 14:30
Location: 
MPIM Lecture Hall

Brylinski and McLaughlin have introduced a "transgression" functor that takes abelian gerbes with connection over a smooth manifold M to certain principal bundles over the free loop space LM of M. In my talk I will present a characterization of the image of this functor. Then I describe an inverse functor, called "regression", so that an equivalence of geometric categories over M and LM is obtained. It will become clear how the concept of a bundle gerbe fits nicely into this context.

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