2 papers
math.GT2026
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…
math.GT2025
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…