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Jones Polynomial versus Determinant of Quasi-Alternating Links

2022/08/05 by Qazaqzeh, Khaled
#57K10 #57K14 #FOS: Mathematics #Geometric Topology (math.GT)

paper · doi:10.48550/arxiv.2208.02984

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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