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math.GT2021
Knotted handlebodies in the 4-sphere and 5-ball
Mark Hughes, Seungwon Kim, Maggie Miller
For every integer we construct 3-dimensional genus- 1-handlebodies smoothly embedded in 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 is called weakly doubly slice if it is a cross-section of an unknotted sphere in , 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-…