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.
Acknowledgments
We would like to thank Professors Mikami Hirasawa, Makoto Sakuma, Yuji Terashima for many helpful comments. The work of the first author is partially supported by Grant-in-Aid for Scientific Research (C) No.17K05209 from Japan Society for the Promotion of Science.
Citation
Takeyoshi Kogiso. Michihisa Wakui. "A characterization of Conway-Coxeter friezes of zigzag type by rational links." Osaka J. Math. 59 (2) 341 - 362, April 2022.
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