The holonomy of gerbes with connections
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چکیده
In this paper we study the holonomy of gerbes with connections. If the manifold, M , on which the gerbe is defined is 1-connected, then the holonomy defines a group homomorphism. Furthermore we show that all information about the gerbe and its connections is contained in the holonomy by proving an explicit reconstruction theorem. We comment on the general case in which M is not 1-connected, but there remains a conjecture to be proved in order to make things rigorous.
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تاریخ انتشار 2008