English

A Bridge between Conway-Coxeter Friezes and Rational Tangles through the Kauffman Bracket Polynomials

Geometric Topology 2019-04-17 v2

Abstract

In the present paper, we build a bridge between Conway-Coxeter friezes and rational tangles through the Kauffman bracket polynomials. One can compute a Kauffman bracket polynomials attached to rational links by using Conway-Coxeter friezes. As an application one can give a complete invariant on Conway-Coxeter friezes of zigzag-type.

Keywords

Cite

@article{arxiv.1806.04840,
  title  = {A Bridge between Conway-Coxeter Friezes and Rational Tangles through the Kauffman Bracket Polynomials},
  author = {Takeyoshi Kogiso and Michihisa Wakui},
  journal= {arXiv preprint arXiv:1806.04840},
  year   = {2019}
}

Comments

This article is a revised version of the previous one (arXiv: 1806.04840v1)