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.
| File | Dimensione | Formato | |
|---|---|---|---|
|
10.36890-iejg.1102753-2371371.pdf
Open access
Tipologia:
Versione pubblicata dall'editore
Dimensione
546.59 kB
Formato
Adobe PDF
|
546.59 kB | Adobe PDF | Visualizza/Apri |
Pubblicazioni consigliate
I metadati presenti in IRIS UNIMORE sono rilasciati con licenza Creative Commons CC0 1.0 Universal, mentre i file delle pubblicazioni sono rilasciati con licenza Attribuzione 4.0 Internazionale (CC BY 4.0), salvo diversa indicazione.
In caso di violazione di copyright, contattare Supporto Iris
