A. Seo

activity

20092018

most citedArc complexes, sphere complexes and Goeritz groups

2 citations · 2 across the 3 of their papers we have counts for

collaborators

3 papers

math.GT2018

Braid group and leveling of a knot

Sangbum Cho, Yuya Koda, Arim Seo

Any knot $K$ in genus- $1$ $1$ -bridge position can be moved by isotopy to lie in a union of $n$ parallel tori tubed by $n - 1$ tubes so that $K$ intersects each tube in two spanning a…

math.GT2014★ 2 cited

Arc complexes, sphere complexes and Goeritz groups

Sangbum Cho, Yuya Koda, Arim Seo

We show that if a Heegaard splitting is obtained by gluing a splitting of Hempel distance at least 4 and the genus-1 splitting of $S^{2} \times S^{1}$ , then the Goeritz group of the sp…

math.GT2009

Arc distance equals level number

Sangbum Cho, Darryl McCullough, Arim Seo

A knot K in 1-bridge position with respect to a genus-g Heegaard surface in a 3-manifold can be moved by isotopy through knots in 1-bridge position until it lies in a union of n pa…