On 3-dimensional homotopy quantum field theory III: comparison of two approaches
Geometric Topology
2019-11-26 v1 Quantum Algebra
Abstract
Let G be a discrete group and C be an additive spherical G-fusion category. We prove that the state sum 3-dimensional HQFT derived from C is isomorphic to the surgery 3-dimensional HQFT derived from the G-center of C.
Cite
@article{arxiv.1911.10257,
title = {On 3-dimensional homotopy quantum field theory III: comparison of two approaches},
author = {Vladimir Turaev and Alexis Virelizier},
journal= {arXiv preprint arXiv:1911.10257},
year = {2019}
}