34 citations · 60 across the 15 of their papers we have counts for
4 papers · 1 filter
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…
Non-slice linear combinations of iterated torus knots
Anthony Conway, Min Hoon Kim, Wojciech Politarczyk
In 1976, Rudolph asked whether algebraic knots are linearly independent in the knot concordance group. This paper uses twisted Blanchfield pairings to answer this question in the a…
Homology spheres and property R
Min Hoon Kim, JungHwan Park
We present infinitely many homology spheres which contain two distinct knots whose 0-surgeries are . This resolves a question posed by Kirby and Melvin in 1978.