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Medientyp:
E-Artikel
Titel:
The minimal volume orientable hyperbolic 2-cusped 3-manifolds
Beteiligte:
Agol, Ian
Erschienen:
American Mathematical Society (AMS), 2010
Erschienen in:Proceedings of the American Mathematical Society
Sprache:
Englisch
DOI:
10.1090/s0002-9939-10-10364-5
ISSN:
0002-9939;
1088-6826
Entstehung:
Anmerkungen:
Beschreibung:
<p>We prove that the Whitehead link complement and the <inline-formula content-type="math/mathml">
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</inline-formula> pretzel link complement are the minimal volume orientable hyperbolic 3-manifolds with two cusps, with volume <inline-formula content-type="math/mathml">
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</inline-formula> 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.</p>