The annular-link degree conjecture for Rudolph polynomials

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Let A(K,f)A(K,f) be a framed link, where KK is its underlying link and ff is its framing. Let {K,f}\{K,f\} denote the framed-link polynomial used in the source, and let FKF_K be the Kauffman polynomial of KK. The annular-link degree conjecture.

max⁡deg⁡z{K,f}=2max⁡deg⁡xFK.\max\deg_z\{K,f\}=2\max\deg_x F_K.

The paper introduces this as a variant of the Kidwell–Stoimenow conjecture that also applies to links; the supplied text gives no evidence that it has been resolved.

References

Primary source

Hermann Gruber, “On Knot Polynomials of Annular Surfaces and their Boundary Links”, arXiv:math/0406106 (2008).

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