1 citations · 1 across the 4 of their papers we have counts for
4 papers
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…
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…
One stabilization is not enough for closed knotted surfaces
Kyle Hayden, Sungkyung Kang, Anubhav Mukherjee
In this brief note, we show that there exist smooth 4-manifolds (with nonempty boundary) containing pairs of exotically knotted 2-spheres that remain exotic after one (either exter…
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…