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2004 Gerbes and homotopy quantum field theories
Ulrich Bunke, Paul Turner, Simon Willerton
Algebr. Geom. Topol. 4(1): 407-437 (2004). DOI: 10.2140/agt.2004.4.407

Abstract

For smooth finite dimensional manifolds, we characterise gerbes with connection as functors on a certain surface cobordism category. This allows us to relate gerbes with connection to Turaev’s (1+1)–dimensional homotopy quantum field theories, and we show that flat gerbes are related to a specific class of rank one homotopy quantum field theories.

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Ulrich Bunke. Paul Turner. Simon Willerton. "Gerbes and homotopy quantum field theories." Algebr. Geom. Topol. 4 (1) 407 - 437, 2004. https://doi.org/10.2140/agt.2004.4.407

Information

Received: 8 June 2004; Accepted: 10 June 2004; Published: 2004
First available in Project Euclid: 21 December 2017

zbMATH: 1054.57034
MathSciNet: MR2077672
Digital Object Identifier: 10.2140/agt.2004.4.407

Subjects:
Primary: 55P48
Secondary: 57R56, 81T70

Rights: Copyright © 2004 Mathematical Sciences Publishers

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