Virtual Yang-Baxter cocycle invariants
Geometric Topology
2008-02-22 v2 Quantum Algebra
Abstract
We extend the Yang-Baxter cocycle invariants for virtual knots by augmenting Yang-Baxter 2-cocycles with cocycles from a cohomology theory associated to a virtual biquandle structure. These invariants coincide with the classical Yang-Baxter cocycle invariants for classical knots but provide extra information about virtual knots and links. In particular, they provide a method for detecting non-classicality of virtual knots and links.
Cite
@article{arxiv.0708.4254,
title = {Virtual Yang-Baxter cocycle invariants},
author = {Jose Ceniceros and Sam Nelson},
journal= {arXiv preprint arXiv:0708.4254},
year = {2008}
}
Comments
17 pages, many pictures. To appear in Trans. Amer. Math. Soc. Version 2 includes minor typo corrections