Special alternating knots are ribbon concordance minimal

Let KK and KK' be knots in S3S^3, and write KKK'\leq K when there is a ribbon concordance from KK to KK'. A knot KK is ribbon concordance minimal if KKK'\leq K implies that KK' is equivalent to KK. Special alternating knot minimality conjecture. Every special alternating knot is ribbon concordance minimal. The paper verifies this in several cases, including fibered knots, knots whose Alexander polynomial has prime-power leading coefficient, and two-bridge knots, but the general conjecture remains open.

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Primary source

Joe Boninger and Joshua Evan Greene, “Special Alternating Knots are Band Prime”, arXiv:2310.19648 (2024).

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