Year: 2012
Type: article
Abstract: Cannon, Swenson and others have proved numerous theorems about subdivision rules associated to hyperbolic groups with a 2-sphere at infinity.However, few explicit examples are known.We construct an explicit finite subdivision rule for many 3-manifolds obtained from polyhedral gluings.The manifolds that satisfy the conditions include all manifolds created from compact right angled hyperbolic polyhedra, as well as many 3-manifolds with toral or hyperbolic boundary.
Source: Algebraic & Geometric Topology
Author: Brian Rushton
Institution: Temple University
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: bronze
OpenAlex ID: W2113750818