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On certain classes of hyperbolic 3-manifolds

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Abstract:

We study the topological structure and the homeomorphism problem for closed 3-manifolds M(n,k) obtained by pairwise identifications of faces in the boundary of certain polyhedral 3-balls. We prove that they are (n/d)-fold cyclic coverings of the 3-sphere branched over certain hyperbolic links of d+1 components, where d= (n/k). Then we study the closed 3-manifolds obtained by Dehn surgeries on the components of these links.

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Authors and Affiliations

  1. Dipartimento di Matematica, Università di Modena e Reggio Emilia, Via Campi 213/B, 41100 Modena, Italy. e-mail: albertoc@unimo.it, , , , , , IT

    Alberto Cavicchioli

  2. SISSA–ISAS (International School for Advanced Study), Via Beirut 2–4, 34014 Trieste, and Dipartimento di Scienze Matematiche, Università di Trieste, Piazzale Europa 5, 34014 Trieste, Italy. e-mail: paoluzzi@sissa.it, , , , , , IT

    Luisa Paoluzzi

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  1. Alberto Cavicchioli
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  2. Luisa Paoluzzi
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Received: 27 November 1998 / Accepted: 12 May 1999

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Cavicchioli, A., Paoluzzi, L. On certain classes of hyperbolic 3-manifolds. manuscripta math. 101, 457–494 (2000). https://doi.org/10.1007/s002290050227

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  • DOI: https://doi.org/10.1007/s002290050227

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