Gerbes and homotopy quantum field theories

Mathematics – Algebraic Topology

Scientific paper

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Published by Algebraic and Geometric Topology at http://www.maths.warwick.ac.uk/agt/AGTVol4/agt-4-21.abs.html

Scientific paper

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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