The Wriggle polynomial for virtual tangles
Geometric Topology
2019-04-24 v1
Abstract
We generalize the Wriggle polynomial, first introduced by L. Folwaczny and L. Kauffman, to the case of virtual tangles. This generalization naturally arises when considering the self-crossings of the tangle. We prove that the generalization (and, by corollary, the original polynomial) are Vassiliev invariants of order one for virtual knots, and study some simple properties related to the connected sum of tangles.
Keywords
Cite
@article{arxiv.1904.10299,
title = {The Wriggle polynomial for virtual tangles},
author = {Nicolas Petit},
journal= {arXiv preprint arXiv:1904.10299},
year = {2019}
}
Comments
14 pages, 17 figures. arXiv admin note: text overlap with arXiv:1805.08178