English

A characterization of adequate Turaev genus one links

Geometric Topology 2025-07-28 v1

Abstract

We prove that a link is adequate and has Turaev genus one if and only if the span of its Jones polynomial is one less than its crossing number.

Keywords

Cite

@article{arxiv.2507.18855,
  title  = {A characterization of adequate Turaev genus one links},
  author = {Khaled Qazaqzeh and Nafaa Chbili and Adam M. Lowrance},
  journal= {arXiv preprint arXiv:2507.18855},
  year   = {2025}
}

Comments

13 pages, 7 figures