Gerbes and homotopy quantum field theories
Algebraic Topology
2014-10-01 v3 Quantum Algebra
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.
Cite
@article{arxiv.math/0201116,
title = {Gerbes and homotopy quantum field theories},
author = {Ulrich Bunke and Paul Turner and Simon Willerton},
journal= {arXiv preprint arXiv:math/0201116},
year = {2014}
}
Comments
Published by Algebraic and Geometric Topology at http://www.maths.warwick.ac.uk/agt/AGTVol4/agt-4-21.abs.html