English

Jones Polynomial versus Determinant of Quasi-Alternating Links

Geometric Topology 2022-08-08 v1

Abstract

We prove that there are only finitely many values of the Jones polynomial of quasi-alternating links of a given determinant. Consequently, we prove that there are only finitely many quasi-alternating links of a given Jones polynomial iff there are only finitely many quasi-alternating links of a given determinant.

Keywords

Cite

@article{arxiv.2208.02984,
  title  = {Jones Polynomial versus Determinant of Quasi-Alternating Links},
  author = {Khaled Qazaqzeh},
  journal= {arXiv preprint arXiv:2208.02984},
  year   = {2022}
}

Comments

7 pages, 2 figures. arXiv admin note: text overlap with arXiv:2009.08624