6 citations · 6 across the 4 of their papers we have counts for
4 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…
Classification of parabolic generating pairs of Kleinian groups with two parabolic generators
Shunsuke Aimi, Donghi Lee, Shunsuke Sakai +1
We give an alternative proof to Agol's classification of parabolic generating pairs of non-free Kleinian groups generated by two parabolic transformations. As an application, we gi…
A characterization of alternating link exteriors in terms of cubed complexes
Shunsuke Sakai
We give a characterization of alternating link exteriors in terms of cubed complexes. To this end, we introduce the concept of a "signed BW cubed-complex", and give a characterizat…