Holonomy and Parallel Transport for Abelian Gerbes
نویسندگان
چکیده
منابع مشابه
Holonomy and parallel transport for Abelian gerbes
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 g...
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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...
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ژورنال
عنوان ژورنال: Advances in Mathematics
سال: 2002
ISSN: 0001-8708
DOI: 10.1016/s0001-8708(02)92085-2