English

Knots and words

Geometric Topology 2007-05-23 v1 Combinatorics

Abstract

Knots and links are interpreted as homotopy classes of nanowords and nanophrases in an alphabet consisting of 4 letters. Similar results hold for curves on surfaces. We also discuss versions of the Jones link polynomial and the link quandles for nanophrases.

Keywords

Cite

@article{arxiv.math/0506390,
  title  = {Knots and words},
  author = {V. Turaev},
  journal= {arXiv preprint arXiv:math/0506390},
  year   = {2007}
}

Comments

19 pages, 3 figures