32 citations · 96 across the 8 of their papers we have counts for
10 papers
Topological spines of 4-manifolds
Hee Jung Kim, Daniel Ruberman
We show that infinitely many of the simply connected 4-manifolds constructed by Levine and Lidman that do not admit PL spines actually admit topological spines.
Equivariant hyperbolization of -manifolds via homology cobordisms
Dave Auckly, Hee Jung Kim, Paul Melvin +1
The main result of this paper is that any -dimensional manifold with a finite group action is equivariantly, invertibly homology cobordant to a hyperbolic manifold; this result…
Isotopy of surfaces in 4-manifolds after a single stabilization
Dave Auckly, Hee Jung Kim, Paul Melvin +2
Any two homologous surfaces of the same genus embedded in a smooth 4-manifold X with simply-connected complements are shown to be smoothly isotopic in the connected sum of X and th…
Knotted surfaces in 4-manifolds by Knot surgery and Stabilization
Hee Jung Kim
Given a simply-connected closed 4-manifold and a smoothly embedded oriented surface , various constructions based on Fintushel-Stern knot surgery have produced new surfaces…
Equivariant Corks
Dave Auckly, Hee Jung Kim, Paul Melvin +1
For suitable finite groups G, we construct contractible 4-manifolds C with an effective G-action on whose associated pairs (C,g) for all are distinct smoothi…
Stable isotopy in four dimensions
Dave Auckly, Hee Jung Kim, Paul Melvin +1
We construct infinite families of topologically isotopic but smoothly distinct knotted spheres in many simply connected 4-manifolds that become smoothly isotopic after stabilizing…