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.
On certain classes of hyperbolic 3-manifolds / Cavicchioli, Alberto; L., Paoluzzi. - In: MANUSCRIPTA MATHEMATICA. - ISSN 0025-2611. - STAMPA. - 101:(2000), pp. 457-494. [10.1007/s002290050227]
On certain classes of hyperbolic 3-manifolds
CAVICCHIOLI, Alberto;
2000
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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