Seungwon Kim

activity

20182021

collaborators

5 papers

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.GT2020

Gluck twist and unknotting of satellite $2$ -knots

Seungwon Kim

In this paper, we show that the Gluck twist of certain satellite $2$ -knots in a $4$ -manifold do not change the diffeomorphism type in three different ways: one is directly from the…

math.GT2020

Concordance invariants and the Turaev genus

Hongtaek Jung, Sungkyung Kang, Seungwon Kim

We show that the differences between various concordance invariants of knots, including Rasmussen's $s$ -invariant and its generalizations $s_{n}$ -invariants, give lower bounds to the…

math.GT2018

Trisections of surface complements and the Price twist

Seungwon Kim, Maggie Miller

Given an $S ≅ R P^{2}$ smoothly embedded in a 4-manifold $X^{4}$ with Euler number 2 or -2, the Price twist is a surgery operation on $ν (S)$ yielding (up to) three different…

math.GT2018

Isotopies of surfaces in 4-manifolds via banded unlink diagrams

Mark C. Hughes, Seungwon Kim, Maggie Miller

In this paper, we study surfaces embedded in $4$ -manifolds. We give a complete set of moves relating banded unlink diagrams of isotopic surfaces in an arbitrary $4$ -manifold. This…