Skein Homology
q-alg
2008-02-03 v1 Quantum Algebra
Abstract
For each skein module we describe a homology theory which, for any three manifold recovers the skein module at its zero level. The theory measures skein-like relations among skein relations, mimicking Hilbert's theory of syzygies. We work explicit examples for the homology groups corresponding to the Kauffman bracket. It is shown, in particular, that for every manifold most of the groups are non-trivial.
Keywords
Cite
@article{arxiv.q-alg/9701019,
title = {Skein Homology},
author = {Doug Bullock and Charles Frohman and Joanna Kania-Bartoszynska},
journal= {arXiv preprint arXiv:q-alg/9701019},
year = {2008}
}
Comments
LaTeX2e v1.2, requires epsfig package, 4 pages, 17 figures inserted repeatedly