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On certain classes of hyperbolic 3-manifolds |
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| Authors: | Alberto Cavicchioli Luisa Paoluzzi |
| Affiliation: | (1) Dipartimento di Matematica, Università di Modena e Reggio Emilia, Via Campi 213/B, 41100 Modena, Italy. e-mail: albertoc@unimo.it, IT;(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 |
| 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. Received: 27 November 1998 / Accepted: 12 May 1999 |
| Keywords: | Mathematics Subject Classification (1991):57M12 57M25 57M50 57N10 |
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