Special alternating knots are ribbon concordance minimal
Special alternating knots are ribbon concordance minimal
Let and be knots in , and write when there is a ribbon concordance from to . A knot is ribbon concordance minimal if implies that is equivalent to . 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.
Sources & referencesView supporting material
Primary source
Joe Boninger and Joshua Evan Greene, “Special Alternating Knots are Band Prime”, arXiv:2310.19648 (2024).
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