Link and knot invariants from non-abelian Yang-Baxter 2-cocycles

Marco A. Farinati; Juliana García Galofre

Link and knot invariants from non-abelian Yang-Baxter 2-cocycles

Geometric Topology 2015-07-09 v1

Authors: Marco A. Farinati , Juliana García Galofre

Abstract

We define a knot/link invariant using set theoretical solutions $(X,\sigma)$ of the Yang-Baxter equation and non commutative 2-cocycles. We also define, for a given $(X,\sigma)$ , a universal group Unc(X) governing all 2-cocycles in $X$ , and we exhibit examples of computations.

Keywords

knot invariant link invariant Yang-Baxter equation set-theoretical solution non-abelian 2-cocycle universal group

Cite

@article{arxiv.1507.02232,
  title  = {Link and knot invariants from non-abelian Yang-Baxter 2-cocycles},
  author = {Marco A. Farinati and Juliana García Galofre},
  journal= {arXiv preprint arXiv:1507.02232},
  year   = {2015}
}

Comments

26 pages

Related papers

View all related →