The minimal volume orientable hyperbolic 2-cusped 3-manifolds

Autores: Ian Agol
Localización: Proceedings of the American Mathematical Society, ISSN 0002-9939, Vol. 138, Nº 10, 2010, págs. 3723-3732
Idioma: inglés
DOI: 10.1090/s0002-9939-10-10364-5
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Resumen
- We prove that the Whitehead link complement and the pretzel link complement are the minimal volume orientable hyperbolic 3-manifolds with two cusps, with volume = 4 Catalan's constant. We use topological arguments to establish the existence of an essential surface which provides a lower bound on volume and strong constraints on the manifolds that realize that lower bound.