English

A Note on Alexander Polynomials of 2-Bridge Links

Geometric Topology 2019-07-10 v1

Abstract

A formula for the Alexander polynomial of a 2-bridge knot or link given by Hartley and also by Minkus has a beautiful interpretation as a walk on the integers. We extend this to the 2-variable Alexander polynomial of a 2-bridge link, obtaining a formula that corresponds to a walk on the 2-dimensional integer lattice.

Keywords

Cite

@article{arxiv.1907.03812,
  title  = {A Note on Alexander Polynomials of 2-Bridge Links},
  author = {Jim Hoste},
  journal= {arXiv preprint arXiv:1907.03812},
  year   = {2019}
}

Comments

7 pages, 5 figures

R2 v1 2026-06-23T10:15:18.138Z