2 papers
math.GT2025
Smoothly slice knots with smoothly non-approximable topological slice discs
Min Hoon Kim, Mark Powell
We construct infinitely many smoothly slice knots having topological slice discs that are non-approximable by smooth slice discs.
math.GT2024
Calegari's homotopy 4-spheres from fibered knots are standard
Jae Choon Cha, Min Hoon Kim
In 2009, Calegari constructed smooth homotopy 4-spheres from monodromies of fibered knots. We prove that all these are diffeomorphic to the standard 4-sphere. Our method uses 5-dim…