83 citations · 139 across the 28 of their papers we have counts for
28 papers
Combinatorial local convexity implies convexity in finite dimensional CAT(0) cubed complexes
Shunsuke Sakai, Makoto Sakuma
We give a proof to the following theorem, which is well-known among experts: A connected subcomplex of a finite dimensional CAT(0) cubed complex is convex if and only if Lk…
Two-parabolic-generator subgroups of hyperbolic 3-manifold groups
Shunsuke Sakai, Makoto Sakuma
We give a detailed account of Agol's theorem and his proof concerning two-meridional-generator subgroups of hyperbolic 2-bridge link groups, which is included in the slide of his t…
Invariant Seifert surfaces for strongly invertible knots
Mikami Hirasawa, Ryota Hiura, Makoto Sakuma
We study invariant Seifert surfaces for strongly invertible knots, and prove that the gap between the equivariant genus (the minimum of the genera of invariant Seifert surfaces) of…
Homotopy motions of surfaces in -manifolds
Yuya Koda, Makoto Sakuma
We introduce the concept of a homotopy motion of a subset in a manifold, and give a systematic study of homotopy motions of surfaces in closed orientable 3-manifolds. This notion a…
A survey of the impact of Thurston's work on Knot Theory
Makoto Sakuma
This is a survey of the impact of Thurston's work on knot theory, laying emphasis on the two characteristic features, rigidity and flexibility, of 3-dimensional hyperbolic structur…
Classification of non-free Kleinian groups generated by two parabolic transformations
Hirotaka Akiyoshi, Ken'ichi Ohshika, John Parker +2
We give a full proof to Agol's announcement on the classification of non-free Kleinian groups generated by two parabolic transformations.