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2004 TQFT's and gerbes
Roger Picken
Algebr. Geom. Topol. 4(1): 243-272 (2004). DOI: 10.2140/agt.2004.4.243

Abstract

We generalize the notion of parallel transport along paths for abelian bundles to parallel transport along surfaces for abelian gerbes using an embedded Topological Quantum Field Theory (TQFT) approach. We show both for bundles and gerbes with connection that there is a one-to-one correspondence between their local description in terms of locally-defined functions and forms and their non-local description in terms of a suitable class of embedded TQFT’s.

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Roger Picken. "TQFT's and gerbes." Algebr. Geom. Topol. 4 (1) 243 - 272, 2004. https://doi.org/10.2140/agt.2004.4.243

Information

Received: 2 March 2004; Accepted: 15 April 2004; Published: 2004
First available in Project Euclid: 21 December 2017

zbMATH: 1058.57023
MathSciNet: MR2059191
Digital Object Identifier: 10.2140/agt.2004.4.243

Subjects:
Primary: 55R65
Secondary: 53C29

Rights: Copyright © 2004 Mathematical Sciences Publishers

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