1 citations · 1 across the 7 of their papers we have counts for
8 papers
Non-kinetic homotopy coherent actions on four-manifolds
Sungkyung Kang, JungHwan Park, Masaki Taniguchi
We give the first example of a non-kinetic smooth homotopy coherent action of order two on a closed simply connected smooth four-manifold. This action is obtained by restricting a…
Equivariant lattice homology for Seifert homology 3-spheres
Sungkyung Kang, JungHwan Park, Masaki Taniguchi
We develop an -equivariant refinement of the lattice homotopy type for Seifert homology 3-spheres equipped with the Seifert -action. We const…
Smooth concordance of cables of the figure-eight knot
Sungkyung Kang, JungHwan Park, Masaki Taniguchi
We prove that every nontrivial cable of the figure-eight knot has infinite order in the smooth knot concordance group. Our main contribution is a uniform proof that applies to all…
Exotic Dehn twists and homotopy coherent group actions
Sungkyung Kang, JungHwan Park, Masaki Taniguchi
We consider the question of extending a smooth homotopy coherent finite cyclic group action on the boundary of a smooth 4-manifold to its interior. As a result, we prove that Dehn…
Cables of the figure-eight knot via real Frøyshov invariants
Sungkyung Kang, JungHwan Park, Masaki Taniguchi
We prove that the -cable of the figure-eight knot is not smoothly slice when is odd, by using the real Seiberg-Witten Frøyshov invariant of Konno-Miyazawa-Taniguchi. Fo…
Invariant splitting principles for the Lipshitz--Ozsváth--Thurston correspondence
Gary Guth, Sungkyung Kang
We prove that the Lipshitz-Ozsváth-Thurston correspondence between extended type D structures of knot complements and knot Floer complexes can be arranged s…
Central extensions of higher groups: Green-Schwarz mechanism and 2-connections
Monica Jinwoo Kang, Sungkyung Kang
We study the smooth -group structure arising in the presence of quantum field theory with one-form symmetry. We acquire -group structures obtained by a central extension of t…
Doubled Disks and Satellite Surfaces
Gary Guth, Kyle Hayden, Sungkyung Kang +1
Conjecturally, a knot is slice if and only if its positive Whitehead double is slice. We consider an analogue of this conjecture for slice disks in the four-ball: two slice disks o…