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Holonomy for Gerbes over Orbifolds

Ernesto Lupercio·Bernardo Uribe
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Abstract

In this paper we compute explicit formulas for the holonomy map for a gerbe with connection over an orbifold. We show that the holonomy descends to a transgression map in Deligne cohomology. We prove that this recovers both the inner local systems in Ruan's theory of twisted orbifold cohomology and the local system of Freed-Hopkins-Teleman in their work in twisted K-theory. In the case in which the orbifold is simply a manifold we recover previous results of Gawedzki and Brylinski.

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Ernesto Lupercio, Bernardo Uribe. 2003-07-09. Holonomy for Gerbes over Orbifolds. https://doi.org/10.1016/j.geomphys.2005.08.006

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