Ribbon minimality conjecture for the 4-twisted Whitehead link

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Let W4W_4 denote the 4-twisted Whitehead link, a two-component link formed from the fourth twist knot and an unknot. Ribbon minimality conjecture. The link W4W_4 is ribbon minimal. Theorem-level results leave W4W_4 and its mirror as the possible exceptions among twisted Whitehead links; the authors were unable to decide this case using link Floer homology, and relate it to the existence of slice disks for the knot 616_1 modulo local knotting.

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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