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

Geometric Topology 2020-08-24 v1

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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Cite

@article{arxiv.2008.09364,
  title  = {A characterization of Conway-Coxeter friezes of zigzag type by rational links},
  author = {Takeyoshi Kogiso and Michihisa Wakui},
  journal= {arXiv preprint arXiv:2008.09364},
  year   = {2020}
}

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26 pages