Heriot-Watt Mathematics Report Series
HWM02-1, 15 Jan 2002
Gerbes and Homotopy Quantum Field Theories
P Turner and S Willerton
Abstract
For manifolds with freely generated first homology, we characterize 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 on such spaces as above
are the same as a specific class of rank one homotopy quantum field theories.
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Full text: http://arXiv.org/abs/math.AT/0201116
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