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On Hyperbolic 3-Orbifolds of Small Volume and Small Heegaard Genus
Zimmermann, Bruno
2001
Abstract
In the present note we shall give geometric descriptions
of the orientable hyperbolic 3-orbifolds of smallest known
volumes. As in the case of hyperbolic 3-manifolds, the hyperbolic
3-orbifolds of smallest volumes are still not known but there is
some evidence that our list should be complete (however in some
cases the volumes have not yet been computed). We note that the
natural candidates for the ten orientable hyperbolic 3-manifolds
of smallest volumes have been described in [6] (all of Heegaard
genus two). In the following, we shall consider only orientable
orbifolds. Computations of volumes are based on the recent papers
[11], [9] and [14].
Series
Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics
32 (2001) suppl.2
Publisher
Università degli Studi di Trieste. Dipartimento di Scienze Matematiche
Source
Bruno Zimmermann, On Hyperbolic 3-Orbifolds of Small Volume and Small Heegaard Genus", in: Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics, 32 (2001) suppl.2, pp. 149–161.
Languages
en
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