Small Covers of the Dodecahedron and the 120-cell

Details Small Covers of the Dodecahedron and the 120-cell Small Covers of the Dodecahedron and the 120-cell

2001-07-16

arxiv.org/abs/math/0107116v2

Mathematics

Geometric Topology

8 pages, abstract corrected (the result is for minimal index subgroups of W), article unchanged

Scientific paper

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).

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