48 citations · 186 across the 42 of their papers we have counts for
43 papers
Smoothing topological isotopy of surfaces in 4-manifolds with a boundary geometric dual
Jae Choon Cha, Byeorhi Kim
We prove that topological isotopy implies smooth isotopy for neat surfaces with common nonempty boundary in a smooth orientable 4-manifold, in the presence of a geometric dual in t…
Iterated satellite operators on the knot concordance group
Jae Choon Cha, Taehee Kim
We show that for a winding number zero satellite operator on the knot concordance group, if the axis of has nontrivial self-pairing under the Blanchfield form of the patter…
Light bulb smoothing for topological surfaces in 4-manifolds
Jae Choon Cha, Byeorhi Kim
We present new smoothing techniques for topologically embedded surfaces in smooth 4-manifolds, which give topological isotopy to a smooth surface. As applications, we prove "topolo…
Transfinite Milnor invariants for 3-manifolds
Jae Choon Cha, Kent E. Orr
In his 1957 paper, John Milnor introduced link invariants which measure the homotopy class of the longitudes of a link relative to the lower central series of the link group. Conse…
Primary decomposition in the smooth concordance group of topologically slice knots
Jae Choon Cha
We address primary decomposition conjectures for knot concordance groups, which predict direct sum decompositions into primary parts. We show that the smooth concordance group of t…
Two-solvable and two-bipolar knots with large four-genera
Jae Choon Cha, Allison N. Miller, Mark Powell
For every integer g, we construct a 2-solvable and 2-bipolar knot whose topological 4-genus is greater than g. Note that 2-solvable knots are in particular algebraically slice and…