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

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.

Sources & referencesView supporting material

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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