English

Mock Alexander Polynomials

Geometric Topology 2024-01-24 v1 Combinatorics

Abstract

In this paper, we construct mock Alexander polynomials for starred links and linkoids in surfaces. These polynomials are defined as specific sums over states of link or linkoid diagrams that satisfy f=nf=n, where ff denotes the number of regions and nn denotes the number of crossings of diagrams.

Keywords

Cite

@article{arxiv.2401.12654,
  title  = {Mock Alexander Polynomials},
  author = {Neslihan Gügümcü and Louis H. Kauffman},
  journal= {arXiv preprint arXiv:2401.12654},
  year   = {2024}
}
R2 v1 2026-06-28T14:24:34.113Z