Generalised Kauffman conjecture on slice derivatives
Generalised Kauffman conjecture on slice derivatives
Let be a knot, and let a slice derivative mean a derivative of that is slice in the relevant category. Generalised Kauffman conjecture. If is a topologically (respectively, smoothly) slice knot, then there exists a topologically (respectively, smoothly) slice derivative of . 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.
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Sources & referencesView supporting material
Primary source
JungHwan Park and Mark Powell, “A ribbon obstruction and derivatives of knots”, arXiv:1802.00582 (2018).
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