7 citations · 30 across the 38 of their papers we have counts for
4 papers · 1 filter
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.…
Neighborhood equivalence for multibranched surfaces in 3-manifolds
Kai Ishihara, Yuya Koda, Makoto Ozawa +1
A multibranched surface is a 2-dimensional polyhedron without vertices. We introduce moves for multibranched surfaces embedded in a 3-manifold, which connect any two multibranched…
Extending automorphisms of the genus-2 surface over the 3-sphere
Kenta Funayoshi, Yuya Koda
An automorphism of a closed orientable surface is said to be extendable over the 3-sphere if extends to an automorphism of the pair with respect to som…