A bridge between Conway–Coxeter friezes and rational tangles through the Kauffman bracket polynomials-Reference-Cited by-同舟云学术

A bridge between Conway–Coxeter friezes and rational tangles through the Kauffman bracket polynomials

Published:2019-12 Issue:14 Volume:28 Page:1950083
ISSN:0218-2165
Container-title:Journal of Knot Theory and Its Ramifications
language:en
Short-container-title:J. Knot Theory Ramifications

Author:

Kogiso Takeyoshi¹,Wakui Michihisa²^ORCID

Affiliation:

1. Department of Mathematics, Josai University, 1-1, Keyakidai Sakado, Saitama, 350-0295, Japan

2. Department of Mathematics, Faculty of Engineering Science, Kansai University, Suita-shi, Osaka 564-8680, Japan

Abstract

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

Publisher

World Scientific Pub Co Pte Lt

Subject

Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218216519500834

Reference22 articles.

1. Markov's Theorem and 100 Years of the Uniqueness Conjecture

2. An enumeration of knots and links, and some of their algebraic properties

3. Triangulated polygons and frieze patterns

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