English

Generalized quandle polynomials

Quantum Algebra 2019-08-15 v3 Geometric Topology

Abstract

We define a family of generalizations of the two-variable quandle polynomial. These polynomial invariants generalize in a natural way to eight-variable polynomial invariants of finite biquandles. We use these polynomials to define a family of link invariants which further generalize the quandle counting invariant.

Keywords

Cite

@article{arxiv.0801.2979,
  title  = {Generalized quandle polynomials},
  author = {Sam Nelson},
  journal= {arXiv preprint arXiv:0801.2979},
  year   = {2019}
}

Comments

11 pages. Version 3 includes a correction to the square/granny knot example. To appear in Can. Bull. Math

R2 v1 2026-06-21T10:04:28.142Z