Jones Polynomial versus Determinant of Quasi-Alternating Links

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.

arXiv comment7 pages, 2 figures. arXiv admin note: text overlap with arXiv:2009.08624