The Casson-Walker-Lescop Invariant as a Quantum 3-manifold Invariant
q-alg
2008-02-03 v1 Quantum Algebra
Abstract
We give a direct computational proof that the degree 1 part of the Le-Murakami-Ohtsuki invariant of a closed oriented 3-manifold M is determined by the Casson-Walker-Lescop invariant. Moreover, if the first Betti number of M is equal to 2, the Le-Murakami-Ohtsuki invariant is determined by the Lescop generalization of the Casson-Walker invariant.
Keywords
Cite
@article{arxiv.q-alg/9708029,
title = {The Casson-Walker-Lescop Invariant as a Quantum 3-manifold Invariant},
author = {Nathan Habegger and Anna Beliakova},
journal= {arXiv preprint arXiv:q-alg/9708029},
year = {2008}
}
Comments
12 pages, LaTeX, 3 figures