Holonomy and parallel transport for Abelian gerbes
نویسندگان
چکیده
In this paper we establish a one-to-one correspondence between S1-gerbes with connections, on the one hand, and their holonomies, for simply connected manifolds, or their parallel transports, in the general case, on the other hand. This result is a higher-order analogue of the familiar equivalence between bundles with connections and their holonomies for connected manifolds. The holonomy of a gerbe with ∗presently working as a postdoc at the University of Nottingham, UK
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