7 citations · 9 across the 6 of their papers we have counts for
11 papers
Stable maps and hyperbolic links
Ryoga Furutani, Yuya Koda
A stable map of a closed orientable -manifold into the real plane is called a stable map of a link in the manifold if the link is contained in the set of definite fold points. W…
Goeritz groups of bridge decompositions
Susumu Hirose, Daiki Iguchi, Eiko Kin +1
For a bridge decomposition of a link in the -sphere, we define the Goeritz group to be the group of isotopy classes of orientation-preserving homeomorphisms of the -sphere th…
Twisted book decompositions and the Goeritz groups
Daiki Iguchi, Yuya Koda
We consider the Goeritz groups of the Heegaard splittings induced from twisted book decompositions. We show that there exist Heegaard splittings of distance that have the infin…
Shadows of acyclic 4-manifolds with sphere boundary
Yuya Koda, Hironobu Naoe
In terms of Turaev's shadows, we provide a sufficient condition for a compact, smooth, acyclic 4-manifold with boundary the 3-sphere to be diffeomorphic to the standard 4-ball. As…
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.…