Wrapping-degree equality conjecture for solid torus links

Let LL be a solid torus link with wrapping number wr\operatorname{wr}, and let L\nabla_L denote its Kauffman polynomial. Wrapping-degree equality conjecture.

degx(L)=wr.\deg_x(\nabla_L)=\operatorname{wr}.

Equality holds for all links in the authors' tabulation, but it is not established in general.

Sources & referencesView supporting material

Primary source

John M. Sullivan and Max Zahoransky von Worlik, “Classification of small links in the unmarked solid torus”, arXiv:2306.09110 (2025).

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