Nonminimal knot as a component of a ribbon minimal link

A knot is ribbon minimal if it is minimal under ribbon concordance, and a link is ribbon concordance minimal if it is minimal under ribbon concordance. Component-separation conjecture. There exists a knot KK that is not ribbon minimal but is contained as a component in a ribbon concordance minimal link. The source presents this as one of two unproved conjectures and gives no resolution.

Sources & referencesView supporting material

Primary source

Gary Dunkerley, “A ribbon partial order for links and minimality detection via Heegaard Floer”, arXiv:2606.20802 (2026).

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