Geodesic
Constructing subdivision rules from polyhedra with identifications
Rushton, Brian1
1Department of Mathematics, Temple University, Room 638 Wachman Hall, 1805 N. Broad Street, Philadelphia, PA 19122, USA
Algebraic and Geometric Topology, Tome 12 (2012) no. 4, pp. 1961-1992
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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.

DOI : 10.2140/agt.2012.12.1961
Classification : 20F67, 57M50
Keywords: finite subdivision rule, hyperbolic polyhedra

Rushton, Brian  1

1 Department of Mathematics, Temple University, Room 638 Wachman Hall, 1805 N. Broad Street, Philadelphia, PA 19122, USA 
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Rushton, Brian. Constructing subdivision rules from polyhedra with identifications. Algebraic and Geometric Topology, Tome 12 (2012) no. 4, pp. 1961-1992. doi: 10.2140/agt.2012.12.1961

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