Dye's conjecture on checkerboard framings of virtual link diagrams

A checkerboard framing is an extension of a checkerboard coloring for a virtual link diagram; consider any two checkerboard framings of the same diagram. Dye's conjecture. Any two checkerboard framings of a diagram are related by a sequence of cut point moves I and II.

This conjecture concerns the equivalence of checkerboard framings under local cut point moves and underlies the use of cut points in extending invariants from classical to virtual links. The paper states that it proves the conjecture in its Section 4, so it is resolved.

Sources & referencesView supporting material

Primary source

Qingying Deng, “One conjecture on cut points of virtual links and the arrow polynomial of twisted links”, arXiv:2103.12283 (2021).

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