English

Factors of HOMFLY polynomials

Geometric Topology 2020-06-26 v1 Algebraic Geometry

Abstract

We study factorizations of HOMFLY polynomials of certain knots and oriented links. We begin with a computer analysis of knots with at most 12 crossings, finding 17 non-trivial factorizations. Next, we give an irreducibility criterion for HOMFLY polynomials of oriented links associated to 2-connected plane graphs.

Keywords

Cite

@article{arxiv.2006.14311,
  title  = {Factors of HOMFLY polynomials},
  author = {Douglas Blackwell and Damiano Testa},
  journal= {arXiv preprint arXiv:2006.14311},
  year   = {2020}
}

Comments

7 pages, no figures