English

A formula for the HOMFLY polynomial of rational links

Geometric Topology 2011-01-18 v3 Combinatorics

Abstract

We give an explicit formula for the HOMFLY polynomial of a rational link (in particular, a knot) in terms of a special continued fraction for the rational number that defines the given link.

Keywords

Cite

@article{arxiv.1009.1800,
  title  = {A formula for the HOMFLY polynomial of rational links},
  author = {Sergei Duzhin and Mikhail Shkolnikov},
  journal= {arXiv preprint arXiv:1009.1800},
  year   = {2011}
}

Comments

15 pages, 10 figures, the solution to a problem declared open in the previous version is given