|Z_{Kup}|=|Z_{Henn}|^2 for Lens spaces
Quantum Algebra
2012-12-17 v3 Geometric Topology
Abstract
M. Hennings and G. Kuperberg defined quantum invariants Z_{Henn} and Z_{Kup} of closed oriented 3-manifolds based on certain Hopf algebras, respectively. We prove that |Z_{Kup}|=|Z_{Henn}|^2 for lens spaces when both invariants are based on factorizable finite dimensional ribbon Hopf algebras.
Cite
@article{arxiv.1106.3313,
title = {|Z_{Kup}|=|Z_{Henn}|^2 for Lens spaces},
author = {Liang Chang and Zhenghan Wang},
journal= {arXiv preprint arXiv:1106.3313},
year = {2012}
}
Comments
A major revision with added examples