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arxiv: 2605.25309 · v1 · pith:5IO7C7R6new · submitted 2026-05-25 · 🧮 math.GT

On the S-equivalence for Genus One Knots

classification 🧮 math.GT
keywords genusknotsproblemconstructdistinguishedequivalencejoneskirby
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In this paper, we construct a sequence of genus one knots that are both S-equivalent, yet can be distinguished by the Jones polynomial. This is related to the problem 1.6 in Kirby's problem list (K3).

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