Small covers of the dodecahedron and the 120-cell
By Anne Garrison, R. Scott. 2001
52 citations recorded by the source corpus.
Let P be the right-angled hyperbolic dodecahedron or 120-cell, and let W be the group generated by reflections across codimension-one faces of P. We prove that if r C W is a torsion free subgroup of minimal index, then the corresponding hyperbolic manifold H n /Γ is determined up to homeomorphism by Γ modulo symmetries of P.
Subfields: Discrete Mathematics and Combinatorics, Geometry and Topology, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/82519bfad976783603d0ca1618642a96a921a709
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In Discrete Mathematics and Combinatorics
In Geometry and Topology
In Mathematical Physics
Citations in the corpus
- Toric topology (2012, background): “The dodecahedron and the 120 cell can be realized in a hyperbolic space with right angle at each vertex and small covers over them are classified from this point of view in [23].”