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The Links-Gould invariant as a classical generalization of the Alexander polynomial? (2505.08296v1)
Published 13 May 2025 in math.GT, math.QA, and math.RT
Abstract: In this paper we conjecture that the Links-Gould invariant of links, that we know is a generalization of the Alexander-Conway polynomial, shares some of its classical features. In particular it seems to give a lower bound for the genus of links and to provide a criterion for fiberedness of knots. We give some evidence for these two assumptions.