3 papers
math.GT2023
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…
math.GT2020
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…
math.GT2018
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…