On Finite Type 3-Manifold Invariants II
q-alg
2008-02-03 v1 Quantum Algebra
Abstract
This paper continues the study of finite-type invariants of homology spheres studied by Ohtsuki and Garoufalidis. We apply the surgery classification of links to give a diagrammatic description, using ideas of Ohtsuki. This uses a computation of the surgery equivalence classes of pure braids. We show that the order of any invariant, in Ohtsukis sense, is a multiple of 3. We also study the relation between the order of an invariant and that of the knot invariant it defines.
Cite
@article{arxiv.q-alg/9506012,
title = {On Finite Type 3-Manifold Invariants II},
author = {Stavros Garoufalidis and Jerome Levine},
journal= {arXiv preprint arXiv:q-alg/9506012},
year = {2008}
}
Comments
28 pages, 15 figures, Uuencoded PostScript File