Semiquandles and flat virtual knots
Geometric Topology
2011-09-20 v2 Quantum Algebra
Abstract
We introduce an algebraic structure we call semiquandles whose axioms are derived from flat Reidemeister moves. Finite semiquandles have associated counting invariants and enhanced invariants defined for flat virtual knots and links. We also introduce singular semiquandles and virtual singular semiquandles which define invariants of flat singular virtual knots and links. As an application, we use semiquandle invariants to compare two Vassiliev invariants.
Keywords
Cite
@article{arxiv.0901.4315,
title = {Semiquandles and flat virtual knots},
author = {Allison Henrich and Sam Nelson},
journal= {arXiv preprint arXiv:0901.4315},
year = {2011}
}
Comments
14 pages