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 2018Show all

3 papers · 1 filter

math.GT2018★ 13 cited

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★ 16 cited

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…

math.GT2018★ 1 cited

Immersed Möbius bands in knot complements and representatives of $Z_{2}$ -homology classes

Mark C. Hughes, Seungwon Kim

We study the 3-dimensional immersed crosscap number of a knot, which is a nonorientable analogue of the immersed Seifert genus. We study knots with immersed crosscap number 1, and…

Trisections of surface complements and the Price twist

Isotopies of surfaces in 4-manifolds via banded unlink diagrams

Immersed Möbius bands in knot complements and representatives of Z2​-homology classes

Immersed Möbius bands in knot complements and representatives of $Z_{2}$ -homology classes