Generalised Kauffman conjecture on slice derivatives

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Let KK be a knot, and let a slice derivative mean a derivative of KK that is slice in the relevant category. Generalised Kauffman conjecture. If KK is a topologically (respectively, smoothly) slice knot, then there exists a topologically (respectively, smoothly) slice derivative of KK. This asks whether the converse to the fact that a knot with a slice derivative is slice also holds. The smooth version would follow from the slice-ribbon conjecture, and the conjecture remains open.

References

Primary source

JungHwan Park and Mark Powell, “A ribbon obstruction and derivatives of knots”, arXiv:1802.00582 (2018).

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