Refined invariants and TQFT's from Homfly skein theory
Geometric Topology
2007-05-23 v3
Abstract
We work in the reduced SU(N,K) modular category as constructed recently by Blanchet. We define spin type and cohomological refinements of the Turaev-Viro invariants of closed oriented 3-manifolds and give a formula relating them to Blanchet's invariants. Roberts' definition of the Turaev-Viro state sum is exploited. Furthermore, we construct refined Turaev-Viro and Reshetikhin-Turaev TQFT's and study the relationship between them.
Keywords
Cite
@article{arxiv.math/9806090,
title = {Refined invariants and TQFT's from Homfly skein theory},
author = {Anna Beliakova},
journal= {arXiv preprint arXiv:math/9806090},
year = {2007}
}
Comments
20 pages with figures, minor modifications in the construction of TQFT's