13 citations · 57 across the 26 of their papers we have counts for
27 papers
Quantitative finiteness of monic characters of knots
Taehee Kim, Takayuki Morifuji
Dunfield, Friedl, and Jackson showed that if the -character variety of a knot has an irreducible curve component that contains the character of an irreducible re…
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…
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…
Knot reversal and rational concordance
Taehee Kim
We give an infinite family of knots that are not rationally concordant to their reverses. More precisely, if R denotes the involution of the rational knot concordance group QC indu…
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…