Turaev-Viro invariants as an extended TQFT
Geometric Topology
2010-06-15 v3 Quantum Algebra
Abstract
In this paper we show how one can extend Turaev-Viro invariants, defined for an arbitrary spherical fusion category , to 3-manifolds with corners. We demonstrate that this gives an extended TQFT which conjecturally coincides with the Reshetikhin-Turaev TQFT corresponding to the Drinfeld center . In the present paper we give a partial proof of this statement.
Keywords
Cite
@article{arxiv.1004.1533,
title = {Turaev-Viro invariants as an extended TQFT},
author = {Alexander Kirillov and Benjamin Balsam},
journal= {arXiv preprint arXiv:1004.1533},
year = {2010}
}
Comments
38 pages, many figures. New in v.3: significantly rewritten exposition, providing details of some proofs which were only outlined in the previous version