Mutant knots and intersection graphs
Geometric Topology
2016-01-20 v1 Combinatorics
Abstract
We prove that if a finite order knot invariant does not distinguish mutant knots, then the corresponding weight system depends on the intersection graph of a chord diagram rather than on the diagram itself. The converse statement is easy and well known. We discuss relationship between our results and certain Lie algebra weight systems.
Keywords
Cite
@article{arxiv.0704.1313,
title = {Mutant knots and intersection graphs},
author = {S. V. Chmutov and S. K. Lando},
journal= {arXiv preprint arXiv:0704.1313},
year = {2016}
}
Comments
13 pages, many figures