Biquandles for Virtual Knots
Geometric Topology
2007-05-23 v1
Abstract
This paper studies an algebraic invariant of virtual knots called the biquandle. The biquandle generalizes the fundamental group and the quandle of virtual knots. The approach taken in this paper to the biquandle emphasizes understanding its structure in terms of compositions of morphisms, where elementary morphisms are associated to oriented classical and virtual crossings in the diagram.
Keywords
Cite
@article{arxiv.math/0703216,
title = {Biquandles for Virtual Knots},
author = {David Hrencecin and Louis H. Kauffman},
journal= {arXiv preprint arXiv:math/0703216},
year = {2007}
}
Comments
24 pages, 5 figures, LaTeX document with Xy-pic generated illustrations