Virtual Crossing Number and the Arrow Polynomial
Geometric Topology
2009-02-24 v3
Abstract
We introduce a new polynomial invariant of virtual knots and links and use this invariant to compute a lower bound on the virtual crossing number and the minimal surface genus.
Keywords
Cite
@article{arxiv.0810.3858,
title = {Virtual Crossing Number and the Arrow Polynomial},
author = {H. A. Dye and Louis H. Kauffman},
journal= {arXiv preprint arXiv:0810.3858},
year = {2009}
}
Comments
28 pages, 35 figures v2: Updated bibliography and Soulie knot v3: Updated bibliography and bound on genus