English

Cyclic generalizations of two hyperbolic icosahedral manifolds

Geometric Topology 2011-10-17 v1

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 L3,1L_{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.

Keywords

Cite

@article{arxiv.1110.3134,
  title  = {Cyclic generalizations of two hyperbolic icosahedral manifolds},
  author = {P. Cristofori and T. Kozlovskaya and A. Vesnin},
  journal= {arXiv preprint arXiv:1110.3134},
  year   = {2011}
}

Comments

18 pages, 9 figures