Cyclic generalizations of two hyperbolic icosahedral manifolds

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.

18 pages, 9 figures

References in corpus (1)

• The many faces of cyclic branched coverings of 2-bridge knots and links