Turaev-Viro invariants as an extended TQFT III
Quantum Algebra
2011-08-31 v2
Abstract
In the third paper in this series, we examine the Reshetikhin-Turaev and Turaev-Viro TQFTs at the level of surfaces. In particular, we show that for a closed surface , , thus extending the equality of 3-manifold invariants proved in an earlier paper to an equivalence of TQFTs. We also describe how to compute Turaev-Viro state sums for 3-manifolds with embedded ribbon graphs.
Keywords
Cite
@article{arxiv.1012.0560,
title = {Turaev-Viro invariants as an extended TQFT III},
author = {Benjamin Balsam},
journal= {arXiv preprint arXiv:1012.0560},
year = {2011}
}
Comments
19 pages, many figures. Added explanation of equivalence of theories for extended 3-manifolds and added description of TV theory for manifolds with embedded ribbon graphs