We study a series of 2-generator Sol-manifolds depending on a positive integer n, introduced by Molnar and Szirmai. We construct them as tetrahedron manifolds and show that they are twofold coverings of the 3-sphere branched over specified links. Finally, we give a surgery description of the considered 3-manifolds; indeed, they can be obtained by n−2 and 0 Dehn surgeries along the components of the Whitehead link.
Some tetrahedron manifolds with Sol geometry and related groups / Cavicchioli, Alberto; E., Molnar; Spaggiari, Fulvia; J., Szirmai. - In: JOURNAL OF GEOMETRY. - ISSN 0047-2468. - STAMPA. - 105:3(2014), pp. 601-614. [10.1007/s00022-014-0222-6]
Some tetrahedron manifolds with Sol geometry and related groups
CAVICCHIOLI, Alberto;SPAGGIARI, Fulvia;
2014
Abstract
We study a series of 2-generator Sol-manifolds depending on a positive integer n, introduced by Molnar and Szirmai. We construct them as tetrahedron manifolds and show that they are twofold coverings of the 3-sphere branched over specified links. Finally, we give a surgery description of the considered 3-manifolds; indeed, they can be obtained by n−2 and 0 Dehn surgeries along the components of the Whitehead link.
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