Link invariants from finite Coxeter racks

Sam Nelson; Ryan Wieghard

Link invariants from finite Coxeter racks

Geometric Topology 2008-08-13 v1 Quantum Algebra

Authors: Sam Nelson , Ryan Wieghard

Abstract

We study Coxeter racks over $\mathbb{Z}_n$ and the knot and link invariants they define. We exploit the module structure of these racks to enhance the rack counting invariants and give examples showing that these enhanced invariants are stronger than the unenhanced rack counting invariants.

Keywords

knot invariants knot theory invariant theory

Cite

@article{arxiv.0808.1584,
  title  = {Link invariants from finite Coxeter racks},
  author = {Sam Nelson and Ryan Wieghard},
  journal= {arXiv preprint arXiv:0808.1584},
  year   = {2008}
}

Comments

8 pages

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