14 citations · 57 across the 23 of their papers we have counts for
23 papers · 1 filter
Note on primitive disk complexes
Sangbum Cho, Jung Hoon Lee
Given a Heegaard splitting of the -sphere, the primitive disk complex is defined to be the full subcomplex of the disk complex for one of the handlebodies of the splitting. It i…
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…
Disk surgery and the primitive disk complexes of the -sphere
Sangbum Cho, Yuya Koda, Jung Hoon Lee
Given a genus- Heegaard splitting of the -sphere with , we show that the primitive disk complex for the splitting is not weakly closed under disk surgery operation.…
The disk complex and 2-bridge knots
Sangbum Cho, Yuya Koda
We give an alternative proof of a result of Kobayashi and Saeki that every genus one -bridge position of a non-trivial -bridge knot is a stabilization.
The mapping class groups of reducible Heegaard splittings of genus two
Sangbum Cho, Yuya Koda
The manifold which admits a genus- reducible Heegaard splitting is one of the -sphere, , lens spaces and their connected sums. For each of t…
Haken spheres for genus two Heegaard splittings
Sangbum Cho, Yuya Koda
A manifold which admits a reducible genus- Heegaard splitting is one of the -sphere, , lens spaces or their connected sums. For each of those splittings, the…