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Pants immersed in
hyperbolic 3-manifolds
Ian Agol |
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Vol. 241 (2009), No. 2, 201–214
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Abstract |
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We show that a properly immersed thrice-punctured sphere in a cusped orientable hyperbolic 3-manifold is either embedded or has a single clasp in a manifold that is the Whitehead link complement or obtained by hyperbolic Dehn filling on a cusp of the Whitehead link complement. |
Keywords
hyperbolic geometry, topology, immersion
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Mathematical Subject Classification 2000
Primary: 30F40, 57M50
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Milestones
Received: 19 February 2008
Accepted: 4 September 2008
Published: 1 June 2009
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Authors |
| Ian Agol | |
| University of California 970 Evans Hall #3840 Berkeley, CA 94720-3840 United States |
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| http://math.berkeley.edu/~ianagol/ | |
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