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