Daemi–Scaduto's torus-knot Slice–Ribbon conjecture
Daemi–Scaduto's torus-knot Slice–Ribbon conjecture
Let be the -torus knot in , where and are positive coprime integers, and let be a knot concordant to . A ribbon concordance is a concordance whose projection to is a Morse function without local maxima. Daemi–Scaduto's torus-knot Slice–Ribbon conjecture. There is a ribbon concordance from to . 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).
Progress summary
Nothing recorded yet. Refresh searches the literature and the public web for attempts on this problem, and writes the first summary here.
Solutions 0
Sign in to submit a solution.
No solutions have been posted yet.