On medial links and hyperbolic 3-manifolds with large isometry groups |
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Authors: | Andrei Vesnin Bruno Zimmermann |
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Institution: | (1) Sobolev Institute of Mathematics, 630090 Novosibirsk, Russia;(2) Dipartimento di Scienze Matematiche, Università degli Studi di Trieste, 34100 Trieste, Italy |
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Abstract: | Starting from the regular Platonic solids we construct links, generalizing the Borromean rings, with few components but large
finite symmetry groups. We consider the 3-manifolds obtained by equivariant surgeries on these links, most of them hyperbolic,
and the quotient orbifolds obtained from these group actions, among them various of the smallest known hyperbolic 3-orbifolds.
Also, various of the manifolds obtained by equivariant surgery on these links are maximally symmetric hyperbolic 3-manifolds. |
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