English

Quandles at Finite Temperatures II

Geometric Topology 2007-05-23 v1

Abstract

The number of colorings of a knot diagram by a quandle has been shown to be a knot invariant by CJKLS using quandle cohomology methods. In a previous paper by the second named author, the CJKLS invariant was refined and, in particular, it was shown that the number of colorings is an invariant directly without resorting to quandle cohomology. Here we investigate the effectiveness of this invariant on (classical) knots of up to and including ten crossings.

Keywords

Cite

@article{arxiv.math/0205053,
  title  = {Quandles at Finite Temperatures II},
  author = {F. Miguel Dionisio and Pedro Lopes},
  journal= {arXiv preprint arXiv:math/0205053},
  year   = {2007}
}

Comments

41 pages

R2 v1 2026-07-22T16:45:08.796Z