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.

Keywords

Quasi-alternating links / Jones polynomial / determinant

References

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Peking University