On two approaches to 3-dimensional TQFTs
Geometric Topology
2013-06-25 v5 Quantum Algebra
Abstract
Let C be a spherical fusion category. We prove that the Turaev-Viro-Barrett-Westbury state sum invariant of 3-manifolds derived from C is equal to the Reshetikhin-Turaev surgery invariant of 3-manifolds derived from Z(C), where Z(C) is the Drinfeld-Joyal-Street center of C.
Keywords
Cite
@article{arxiv.1006.3501,
title = {On two approaches to 3-dimensional TQFTs},
author = {Vladimir Turaev and Alexis Virelizier},
journal= {arXiv preprint arXiv:1006.3501},
year = {2013}
}