Cyclic generalizations of two hyperbolic icosahedral manifolds

Details Cyclic generalizations of two hyperbolic icosahedral manifolds Cyclic generalizations of two hyperbolic icosahedral manifolds

2011-10-14

arxiv.org/abs/1110.3134v1

Mathematics

Geometric Topology

18 pages, 9 figures

Scientific paper

We discuss two families of closed orientable three-dimensional manifolds which arise as cyclic generalizations of two hyperbolic icosahedral manifolds listed by Everitt. Everitt's manifolds are cyclic coverings of the lens space $L_{3,1}$ branched over some 2-component links. We present results on covering properties, fundamental groups, and hyperbolic volumes of the manifolds belonging to these families.

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