The shadow quandle cocycle invariant of knotoids
Geometric Topology
2022-07-08 v2 Algebraic Topology
Abstract
This paper studies the chirality of knotoids using shadow quandle colorings and the shadow quandle cocycle invariant. The shadow coloring number and the shadow quandle cocycle invariant is shown to distinguish infinitely many knotoids from their mirrors. Specifically, the knot-type knotoid is shown to be chiral. The weight of a quandle 3-cocycle is used to calculate the crossing numbers of infinitely many multi-linkoids.
Keywords
Cite
@article{arxiv.2207.02330,
title = {The shadow quandle cocycle invariant of knotoids},
author = {Nicholas Cazet},
journal= {arXiv preprint arXiv:2207.02330},
year = {2022}
}
Comments
16 pages, 16 figures