A characterization of Conway-Coxeter friezes of zigzag type by rational links

Takeyoshi Kogiso; Michihisa Wakui

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arXiv · 2008.09364

A characterization of Conway-Coxeter friezes of zigzag type by rational links

Takeyoshi Kogiso·Michihisa Wakui

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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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Takeyoshi Kogiso, Michihisa Wakui. 2020-08-21. A characterization of Conway-Coxeter friezes of zigzag type by rational links. https://arxiv.org/abs/2008.09364

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