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arxiv: 1110.3134 · v1 · pith:NMRLP6VWnew · submitted 2011-10-14 · 🧮 math.GT

Cyclic generalizations of two hyperbolic icosahedral manifolds

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keywords manifoldscyclichyperboliceverittfamiliesgeneralizationsicosahedralarise
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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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