Values of the t-invariant for small Seifert manifolds
Geometric Topology
2008-06-13 v1
Abstract
The t-invariant can be considered as the Turaev-Viro invariant of order 5 computed for integer colors only. We compute all values of the t-invariant for Seifert manifolds with base sphere and three singular fibers. As a result we show that the manifolds parameters modulo five define the value of the t-invariant. Partially we show that there are 12 distinct values of the t-invariant for these manifolds. Some examples show that the t-invariant for these manifolds is not defined by the first homology group.
Keywords
Cite
@article{arxiv.0806.2073,
title = {Values of the t-invariant for small Seifert manifolds},
author = {Mikhail Ovchinnikov},
journal= {arXiv preprint arXiv:0806.2073},
year = {2008}
}
Comments
5 pages