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

Takeyoshi Kogiso; Michihisa Wakui

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arXiv · 1806.04840

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

Takeyoshi Kogiso·Michihisa Wakui

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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.

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Takeyoshi Kogiso, Michihisa Wakui. 2018-06-13. A Bridge between Conway-Coxeter Friezes and Rational Tangles through the Kauffman Bracket Polynomials. https://arxiv.org/abs/1806.04840

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