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

arXiv:1806.04840

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.

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

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