The Multi-variable Affine Index Polynomial
Geometric Topology
2019-09-11 v1
Abstract
We define a multi-variable version of the Affine Index Polynomial for virtual links. This invariant reduces to the original Affine Index Polynomial in the case of virtual knots, and also generalizes the version for compatible virtual links recently developed by L. Kauffman. We prove that this invariant is a Vassiliev invariant of order one, and study what happens as we shift the coloring of one or more components.
Cite
@article{arxiv.1909.04159,
title = {The Multi-variable Affine Index Polynomial},
author = {Nicolas Petit},
journal= {arXiv preprint arXiv:1909.04159},
year = {2019}
}
Comments
20 pages, 22 figures