Cyclic generalizations of two hyperbolic icosahedral manifolds

P. Cristofori; T. Kozlovskaya; A. Vesnin

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arXiv · 1110.3134

Cyclic generalizations of two hyperbolic icosahedral manifolds

P. Cristofori·T. Kozlovskaya·A. Vesnin

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Abstract

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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P. Cristofori, T. Kozlovskaya, A. Vesnin. 2011-10-14. Cyclic generalizations of two hyperbolic icosahedral manifolds. https://arxiv.org/abs/1110.3134

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