Integral Lattices of the SU(2)-TQFT-Modules
Geometric Topology
2011-07-12 v2
Abstract
We find bases for naturally defined lattices over certain rings of integers in the SU(2)-TQFT-theory modules of surfaces. We consider the TQFT where the Kauffman's A variable is a root of unity of order four times an odd prime. As an application, we show that the Frohman Kania-Bartoszynska ideal invariant for 3-manifolds with boundary using the SU(2)-TQFT-theory is equal to the product of the ideals using the 2^{'}-theory and the SO(3)-TQFT-theory under a certain change of coefficients.
Cite
@article{arxiv.0712.0669,
title = {Integral Lattices of the SU(2)-TQFT-Modules},
author = {Khaled Qazaqzeh},
journal= {arXiv preprint arXiv:0712.0669},
year = {2011}
}
Comments
10 pages This version has been just accepted at Kobe Journal of Mathematics