The wave-move conjecture for unknot diagrams

A wave move is a local move on a knot diagram that may preserve or reduce its crossing number. Wave-move conjecture. Crossing-number-preserving and crossing-number-reducing wave moves, used in combination, suffice to trivialize every unknot diagram. The claim is motivated by computations and folklore evidence in the paper; no general proof is given.

Sources & referencesView supporting material

Primary source

A. Stoimenow, “Diagram genus, generators and applications”, arXiv:1101.3390 (2011).

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