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 –dimensional homotopy quantum field theories, and we show that flat gerbes are related to a specific class of rank one homotopy quantum field theories.
Citation
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
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