10 citations · 23 across the 13 of their papers we have counts for
14 papers
Doubly slicing knots and embedding 3-manifolds in 4-manifolds
Se-Goo Kim, Taehee Kim
For a knot in the 3-sphere and a simply connected closed 4-manifold , we define the -double slice genus of , extending the notion from the case when is the 4-spher…
Primary decomposition of knot concordance and von Neumann rho-invariants
Min Hoon Kim, Se-Goo Kim, Taehee Kim
We address the primary decomposition of the knot concordance group in terms of the solvable filtration and higher-order von Neumann -invariants by Cochran, Orr, and Teichner. We…
One-bipolar topologically slice knots and primary decomposition
Min Hoon Kim, Se-Goo Kim, Taehee Kim
Let {T_n} be the bipolar filtration of the smooth concordance group of topologically slice knots, which was introduced by Cochran, Harvey, and Horn. It is known that for each n not…
Concordance invariants of doubled knots and blowing up
Se-Goo Kim, Kwan Yong Lee
Let be either the Ozsváth-Szabó -invariant or the Rasmussen -invariant, suitably normalized. For a knot , Livingston and Naik defined the invariant to be the…
Polynomial splittings of correction terms and doubly slice knots
Se-Goo Kim, Taehee Kim
We show that if the connected sum of two knots with coprime Alexander polynomials is doubly slice, then the Ozsváth-Szabó correction terms as smooth double sliceness obstructions v…
Secondary Upsilon invariants of knots
Se-Goo Kim, Charles Livingston
The knot invariant Upsilon, defined by Ozsvath, Stipsicz, and Szabo, induces a homomorphism from the smooth knot concordance group to the group of piecewise linear functions on the…