Jones Polynomial Versus Determinant of Quasi-alternating Links

Khaled Qazaqzeh

Frontiers of Mathematics ›› 2024, Vol. 20 ›› Issue (3) : 689 -698.

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Frontiers of Mathematics ›› 2024, Vol. 20 ›› Issue (3) : 689 -698. DOI: 10.1007/s11464-023-0141-7
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Jones Polynomial Versus Determinant of Quasi-alternating Links

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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.

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Quasi-alternating links / Jones polynomial / determinant

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Khaled Qazaqzeh. Jones Polynomial Versus Determinant of Quasi-alternating Links. Frontiers of Mathematics, 2024, 20(3): 689-698 DOI:10.1007/s11464-023-0141-7

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