On Alexander-Conway Polynomials for Virtual Knots and Links
Geometric Topology
2007-05-23 v2 Combinatorics
Abstract
A polynomial invariant of virtual links, arising from an invariant of links in thickened surfaces introduced by Jaeger, Kauffman, and Saleur, is defined and its properties are investigated. Examples are given that the invariant can detect chirality and even non-invertibility of virtual knots and links. Furthermore, it is shown that the polynomial satisfies a Conway-type skein relation - in contrast to the Alexander polynomial derived from the virtual link group.
Cite
@article{arxiv.math/9912173,
title = {On Alexander-Conway Polynomials for Virtual Knots and Links},
author = {J. Sawollek},
journal= {arXiv preprint arXiv:math/9912173},
year = {2007}
}
Comments
17 pages, 11 figures, latex2e, metafont; error in example corrected and minor changes