Small Covers of the Dodecahedron and the 120-cell
Geometric Topology
2007-05-23 v2
Abstract
Let P be the right-angled dodecahedron or 120-cell in hyperbolic space, and let W be the group generated by reflections across codimension-one faces of P. We prove that if Gamma is a torsion-free subgroup of minimal index in W, then the corresponding hyperbolic manifold H^n/Gamma is determined up to homeomorphism by Gamma (modulo symmetries of P).
Keywords
Cite
@article{arxiv.math/0107116,
title = {Small Covers of the Dodecahedron and the 120-cell},
author = {A. Garrison and R. Scott},
journal= {arXiv preprint arXiv:math/0107116},
year = {2007}
}
Comments
8 pages, abstract corrected (the result is for minimal index subgroups of W), article unchanged