The Jones and Alexander polynomials for singular links
Geometric Topology
2007-10-03 v3
Abstract
We extend the state models for Jones and Alexander polynomials of classical links to state models of 2-variable polynomials in the case of singular links. Moreover, we extend both of them to polynomials with d+1 variables for long singular knots with exactly d double points. These extensions can detect non-invertibility of long singular knots.
Cite
@article{arxiv.0706.0084,
title = {The Jones and Alexander polynomials for singular links},
author = {T. Fiedler},
journal= {arXiv preprint arXiv:0706.0084},
year = {2007}
}