Sungkyung Kang

activity

20162026

most citedLinear independence of rationally slice knots

8 citations · 20 across the 16 of their papers we have counts for

collaborators

Showing 2022Show all

4 papers · 1 filter

math.GT2022

One stabilization is not enough for contractible 4-manifolds

Sungkyung Kang

We construct an example of a cork that remains exotic after taking a connected sum with $S^{2} \times S^{2}$ . Combined with a work of Akbulut-Ruberman, this implies the existence of an…

math.GT2022

Torsion in the knot concordance group and cabling

Sungkyung Kang, JungHwan Park

We define a nontrivial mod 2 valued additive concordance invariant defined on the torsion subgroup of the knot concordance group using involutive knot Floer package. For knots not…

math.GT2022★ 2 cited

The $(2, 1)$ -cable of the figure-eight knot is not smoothly slice

Irving Dai, Sungkyung Kang, Abhishek Mallick +2

We prove that the $(2, 1)$ -cable of the figure-eight knot is not smoothly slice by showing that its branched double cover bounds no equivariant homology ball.

math.GT2022

Involutive knot Floer homology and bordered modules

Sungkyung Kang

We prove that, up to local equivalences, a suitable truncation of the involutive knot Floer homology of a knot in $S^{3}$ and the involutive bordered Heegaard Floer theory of its com…

One stabilization is not enough for contractible 4-manifolds

Torsion in the knot concordance group and cabling

The (2,1)-cable of the figure-eight knot is not smoothly slice

Involutive knot Floer homology and bordered modules

The $(2, 1)$ -cable of the figure-eight knot is not smoothly slice