Bikei, Involutory Biracks and unoriented link invariants
Geometric Topology
2011-04-25 v1 Quantum Algebra
Abstract
We identify a subcategory of biracks which define counting invariants of unoriented links, which we call involutory biracks. In particular, involutory biracks of birack rank N=1 are biquandles, which we call bikei. We define counting invariants of unoriented classical and virtual links using finite involutory biracks, and we give an example of a non-involutory birack whose counting invariant detects the non-invertibility of a virtual knot.
Keywords
Cite
@article{arxiv.1102.1473,
title = {Bikei, Involutory Biracks and unoriented link invariants},
author = {Sinan Aksoy and Sam Nelson},
journal= {arXiv preprint arXiv:1102.1473},
year = {2011}
}
Comments
11 pages