2 papers
math.GT2018
Braid group and leveling of a knot
Sangbum Cho, Yuya Koda, Arim Seo
Any knot in genus- -bridge position can be moved by isotopy to lie in a union of parallel tori tubed by tubes so that intersects each tube in two spanning a…
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…