Seungwon Kim

activity

20152023

most citedIsotopies of surfaces in 4-manifolds via banded unlink diagrams

16 citations · 41 across the 13 of their papers we have counts for

collaborators

Showing 2021Show all

3 papers · 1 filter

math.GT2021

Knotted handlebodies in the 4-sphere and 5-ball

Mark Hughes, Seungwon Kim, Maggie Miller

For every integer $g \geq 2$ we construct 3-dimensional genus- $g$ 1-handlebodies smoothly embedded in $S^{4}$ with the same boundary, and which are defined by the same cut systems of t…

math.GT2021

Stabilization and satellite construction of doubly slice links

Hongtaek Jung, Sungkyung Kang, Seungwon Kim

A 2-component oriented link in $S^{3}$ is called weakly doubly slice if it is a cross-section of an unknotted sphere in $S^{4}$ , and strongly doubly slice if it is a cross-section of a…

math.GT2021

Band diagrams of immersed surfaces in 4-manifolds

Mark Hughes, Seungwon Kim, Maggie Miller

We study immersed surfaces in smooth 4-manifolds via singular banded unlink diagrams. Such a diagram consists of a singular link with bands inside a Kirby diagram of the ambient 4-…