Geodesic
Gerbes and homotopy quantum field theories
Bunke, Ulrich1 ; Turner, Paul2 ; Willerton, Simon3
1Mathematisches Institut, Universität Göttingen, 37073 Göttingen, Germany
2Department of Mathematics, Heriot-Watt University, Edinburgh EH14 4AS, Scotland
3Department of Pure Mathematics, University of Sheffield, Sheffield S3 7RH, England
Algebraic and Geometric Topology, Tome 4 (2004) no. 1, pp. 407-437
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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.

DOI : 10.2140/agt.2004.4.407
Keywords: gerbe, differential character, homotopy quantum field theory

Bunke, Ulrich  1   ; Turner, Paul  2   ; Willerton, Simon  3

1 Mathematisches Institut, Universität Göttingen, 37073 Göttingen, Germany
2 Department of Mathematics, Heriot-Watt University, Edinburgh EH14 4AS, Scotland
3 Department of Pure Mathematics, University of Sheffield, Sheffield S3 7RH, England 
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Bunke, Ulrich; Turner, Paul; Willerton, Simon. Gerbes and homotopy quantum field theories. Algebraic and Geometric Topology, Tome 4 (2004) no. 1, pp. 407-437. doi: 10.2140/agt.2004.4.407

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