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math.GT2022
Systoles of Arithmetic Hyperbolic 2- and 3-Manifolds
Laurel Heck, Benjamin Linowitz
In this paper we study the systoles of arithmetic hyperbolic 2- and 3-manifolds. Our first result is the construction of infinitely many arithmetic hyperbolic 2- and 3-manifolds wh…
math.GT2019
From Convex Ideal Polyhedra to Fundamental Domains in H^3
Laurel Heck
Our goal is to better understand the relationship between the polyhedron and the group associated with a fundamental domain in H^3. In this paper, we will study torsion-free groups…