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The minimal volume orientable hyperbolic 2-cusped 3-manifolds
Author(s):
Ian
Agol
Journal:
Proc. Amer. Math. Soc.
138
(2010),
3723-3732.
MSC (2010):
Primary 57M50
Posted:
May 12, 2010
Errata:
Proc. Amer. Math. Soc. 75 (1979), 375.
MathSciNet review:
2661571
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Abstract:
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.
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Additional Information:
Ian
Agol
Affiliation:
Department of Mathematics, University of California, Berkeley, 970 Evans Hall \#3840, Berkeley, California 94720-3840
Email:
ianagol@math.berkeley.edu
DOI:
10.1090/S0002-9939-10-10364-5
PII:
S 0002-9939(10)10364-5
Received by editor(s):
July 9, 2008
Received by editor(s) in revised form:
January 5, 2010
Posted:
May 12, 2010
Additional Notes:
The author was partially supported by NSF grant DMS-0504975 and the Guggenheim Foundation
Communicated by:
Daniel Ruberman
Copyright of article:
Copyright
2010,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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