In this paper we show that Dehn surgeries on the oriented components of the Whitehead link yield tetrahedron manifolds of Heegaard genus ≤ 2. As a consequence, the eight homogeneous Thurston 3–geometries are realized by tetrahedron manifolds of Heegaard genus ≤ 2. The proof is based on techniques of Combinatorial Group Theory, and geometric presentations of manifold fundamental groups.

All Dehn Fillings of the Whitehead Link Complement are Tetrahedron Manifolds / Cavicchioli, A.; Spaggiari, F.. - In: INTERNATIONAL ELECTRONIC JOURNAL OF GEOMETRY. - ISSN 1307-5624. - 15:2(2022), pp. 192-201. [10.36890/IEJG.1102753]

All Dehn Fillings of the Whitehead Link Complement are Tetrahedron Manifolds

Cavicchioli A.;Spaggiari F.
2022

Abstract

In this paper we show that Dehn surgeries on the oriented components of the Whitehead link yield tetrahedron manifolds of Heegaard genus ≤ 2. As a consequence, the eight homogeneous Thurston 3–geometries are realized by tetrahedron manifolds of Heegaard genus ≤ 2. The proof is based on techniques of Combinatorial Group Theory, and geometric presentations of manifold fundamental groups.
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All Dehn Fillings of the Whitehead Link Complement are Tetrahedron Manifolds / Cavicchioli, A.; Spaggiari, F.. - In: INTERNATIONAL ELECTRONIC JOURNAL OF GEOMETRY. - ISSN 1307-5624. - 15:2(2022), pp. 192-201. [10.36890/IEJG.1102753]
Cavicchioli, A.; Spaggiari, F.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11380/1288418
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