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, A., E., M., Spaggiari, F., J., S.. - 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.
2014
Inglese
105
3
601
614
Thurston geometries; Sol manifold; Heegaard diagram; branched covering; link; group presentation; discrete group; lattice; Dehn surgery
This paper was performed within an international collaboration with the research group in Topology and Geometry of the University of Budapest (Hungary) directed by Prof. E. Molnar
none
info:eu-repo/semantics/article
Contributo su RIVISTA::Articolo su rivista
262
Some tetrahedron manifolds with Sol geometry and related groups / Cavicchioli, A., E., M., Spaggiari, F., J., S.. - In: JOURNAL OF GEOMETRY. - ISSN 0047-2468. - STAMPA. - 105:3(2014), pp. 601-614. [10.1007/s00022-014-0222-6]
Cavicchioli, Alberto; E., Molnar; Spaggiari, Fulvia; J., Szirmai
4
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11380/1043516
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