Mathematics – Algebraic Topology
Scientific paper
2002-01-14
Algebr. Geom. Topol. 4 (2004) 407-437
Mathematics
Algebraic Topology
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.
Bunke Ulrich
Turner Paul
Willerton Simon
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