We present several results on the classification of the topological and geometrical structures of closed 3-manifolds. In particular, we describe many important families of hyperbolic 3-manifolds and obtain combinatorial representations of them as branched coverings of the 3-sphere and by means of Dehn surgeries along knots and links. Finally, we determine the isometry groups, the volumes and the main algebraic invariants of the considered manifolds.
Recent results on the topology of three-manifolds / Cavicchioli, Alberto; D., Repovs; A., Vesnin. - In: ATTI DEL SEMINARIO MATEMATICO E FISICO DELL'UNIVERSITA' DI MODENA. - ISSN 0041-8986. - STAMPA. - 49:(2001), pp. 31-71.
Recent results on the topology of three-manifolds
CAVICCHIOLI, Alberto;
2001
Abstract
We present several results on the classification of the topological and geometrical structures of closed 3-manifolds. In particular, we describe many important families of hyperbolic 3-manifolds and obtain combinatorial representations of them as branched coverings of the 3-sphere and by means of Dehn surgeries along knots and links. Finally, we determine the isometry groups, the volumes and the main algebraic invariants of the considered manifolds.
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