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Gerbes and homotopy quantum field theories

Ulrich Bunke·Paul Turner·Simon Willerton
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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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BibTeXRIS

Ulrich Bunke, Paul Turner, Simon Willerton. 2004-07-09. Gerbes and homotopy quantum field theories. https://doi.org/10.2140/agt.2004.4.407

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