6 papers · 1 filter
Parabolic-preserving deformations of cusped hyperbolic lattices
Samuel A. Ballas, Julien Paupert, Pierre Will
We study deformations of non-cocompact lattices of into and . A necessary condition for these deformations to remain discrete and f…
The Moduli Space of Marked Generalized Cusps in Real Projective Manifolds
Samuel A. Ballas, Daryl Cooper, Arielle Leitner
In this paper, a generalized cusp is a properly convex manifold with strictly convex boundary that is diffeomorphic to where is a closed Euclidean manifo…
Gluing equations for real projective structures on 3-manifolds
Samuel A. Ballas, Alex Casella
Given an orientable ideally triangulated --manifold , we define a system of real valued equations and inequalities whose solutions can be used to construct projective structu…
Thin subgroups isomorphic to Gromov--Piatetski-Shapiro lattices
Samuel A. Ballas
In this paper we produce many examples of thin subgroups of special linear groups that are isomorphic to the fundamental groups of non-arithmetic hyperbolic manifolds. Specifically…
Constructing thin subgroups of SL(n+1,R) via bending
Samuel Ballas, D. D. Long
In this paper we use techniques from convex projective geometry to produce many new examples of thin subgroups of lattices in special linear groups that are isomorphic to the funda…
Constructing convex projective 3-manifolds with generalized cusps
Samuel A Ballas
We prove that non-compact finite volume hyperbolic 3-manifolds that satisfy a mild cohomological condition (infinitesimal rigidity) admit a family of properly convex deformations o…