2 papers
math.GT2017
Topological surfaces as gridded surfaces in geometrical spaces
Juan Pablo Díaz, Gabriela Hinojosa, Alberto Verjovsky
In this paper we study topological surfaces as gridded surfaces in the 2-dimensional scaffolding of cubic honeycombs in Euclidean and hyperbolic spaces.
math.GT2015
Quaternionic Kleinian modular groups and arithmetic hyperbolic orbifolds over the quaternions
Juan Pablo Díaz, Alberto Verjovsky, Fabio Vlacci
Using the rings of Lipschitz and Hurwitz integers and in the quaternion division algebra , we define several Kleinia…