Wrapping-degree equality conjecture for solid torus links

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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.

deg⁡x(∇L)=wr⁡.\deg_x(\nabla_L)=\operatorname{wr}.

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

References

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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