Daemi–Scaduto's torus-knot Slice–Ribbon conjecture

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Let Tp,qT_{p,q} be the (p,q)(p,q)-torus knot in S3S^3, where pp and qq are positive coprime integers, and let KK be a knot concordant to Tp,qT_{p,q}. A ribbon concordance is a concordance whose projection to [0,1][0,1] is a Morse function without local maxima. Daemi–Scaduto's torus-knot Slice–Ribbon conjecture. There is a ribbon concordance from Tp,qT_{p,q} to KK. This generalizes Fox's Slice–Ribbon conjecture from the unknot to torus knots. The source does not state whether this generalization has been resolved.

References

Primary source

Hayato Imori, “Instanton knot invariants with rational holonomy parameters and an application for torus knot groups”, arXiv:2108.13998 (2022).

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