1 citations · 2 across the 5 of their papers we have counts for
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Doubled Disks and Satellite Surfaces
Gary Guth, Kyle Hayden, Sungkyung Kang +1
Conjecturally, a knot is slice if and only if its positive Whitehead double is slice. We consider an analogue of this conjecture for slice disks in the four-ball: two slice disks o…
Concordance to boundary links and the solvable filtration
Christopher W. Davis, Shelly Harvey, JungHwan Park
A geometric interpretation of the vanishing of Milnor's higher order linking numbers remains an important open problem in the study of link concordance. In the 1990's, works of Coc…
Topologically and rationally slice knots
Jennifer Hom, Sungkyung Kang, JungHwan Park
A knot in is topologically slice if it bounds a locally flat disk in . A knot in is rationally slice if it bounds a smooth disk in a rational homology ball. We pro…
Slice obstructions from genus bounds in definite 4-manifolds
Paolo Aceto, Nickolas A. Castro, Maggie Miller +2
We discuss an obstruction to a knot being smoothly slice that comes from minimum-genus bounds on smoothly embedded surfaces in definite 4-manifolds. As an example, we provide an al…
Torsion in the knot concordance group and cabling
Sungkyung Kang, JungHwan Park
We define a nontrivial mod 2 valued additive concordance invariant defined on the torsion subgroup of the knot concordance group using involutive knot Floer package. For knots not…