34 citations · 60 across the 15 of their papers we have counts for
4 papers · 1 filter
The bipolar filtration of topologically slice knots
Jae Choon Cha, Min Hoon Kim
The bipolar filtration of Cochran, Harvey and Horn presents a framework of the study of deeper structures in the smooth concordance group of topologically slice knots. We show that…
Ideal classes and Cappell-Shaneson homotopy 4-spheres
Min Hoon Kim, Shohei Yamada
Gompf proposed a conjecture on Cappell-Shaneson matrices whose affirmative answer implies that all Cappell-Shaneson homotopy 4-spheres are diffeomorphic to the standard 4-sphere. W…
The round handle problem
Min Hoon Kim, Mark Powell, Peter Teichner
We present the Round Handle Problem, proposed by Freedman and Krushkal. It asks whether a collection of links, which contains the Generalised Borromean Rings, are slice in a 4-mani…
Links with nontrivial Alexander polynomial which are topologically concordant to the Hopf link
Min Hoon Kim, David Krcatovich, JungHwan Park
We give infinitely many -component links with unknotted components which are topologically concordant to the Hopf link, but not smoothly concordant to any -component link wit…