A characterization of Conway-Coxeter friezes of zigzag type by rational links
Takeyoshi Kogiso, Michihisa Wakui
TL;DR
This paper establishes a link between Conway-Coxeter friezes of zigzag type and rational links, enabling a new approach to computing the Jones polynomial for these links.
Contribution
It characterizes zigzag type Conway-Coxeter friezes using rational links and introduces a method to compute Jones polynomials for these structures.
Findings
Conway-Coxeter friezes of zigzag type correspond to unoriented rational links.
Jones polynomial can be defined for these friezes.
A new computational method for Jones polynomial of rational links is proposed.
Abstract
The present paper show that Conway-Coxeter friezes of zigzag type are characterized by (unoriented) rational links. As an application of this characterization Jones polynomial can be defined for Conway-Coxeter friezes of zigzag type. This gives a new method for computing the Jones polynomial for oriented rational links.
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Taxonomy
TopicsAdvanced Combinatorial Mathematics · Geometric and Algebraic Topology · Algebraic structures and combinatorial models