On 3-dimensional Homotopy Quantum Field Theory, I
Quantum Algebra
2012-06-20 v2 Geometric Topology
Abstract
Given a discrete group G and a spherical G-fusion category whose neutral component has invertible dimension, we use the state-sum method to construct a 3-dimensional Homotopy Quantum Field Theory (HQFT) with target the Eilenberg-MacLane space K(G,1).
Keywords
Cite
@article{arxiv.1202.6292,
title = {On 3-dimensional Homotopy Quantum Field Theory, I},
author = {Vladimir Turaev and Alexis Virelizier},
journal= {arXiv preprint arXiv:1202.6292},
year = {2012}
}