Kauffman's derivative-sliceness conjecture for slice knots
Kauffman's derivative-sliceness conjecture for slice knots
Let be a knot with a slice disk , and let be a derivative of associated to . Kauffman's conjecture. If is a slice knot via , then is a slice link.
This is the converse of the elementary fact that a slice derivative yields a slice disk for . The conjecture is disproved by a counterexample consisting of a genus-one slice knot with a non-slice associated derivative.
Sources & referencesView supporting material
Primary source
Tim Cochran and Christopher William Davis, “Cut open null-bordisms and derivatives of slice knots”, arXiv:1511.07295 (2016).
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.