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Dehn surgery and negatively curved 3-manifolds

Abstract:

We show that, for any given 3-manifold M, there are at most finitely many hyperbolic knots K in the 3-sphere and fractions p/q (with q > 22), such that M is obtained by p/q surgery along K. This is a corollary of the following result. If M is obtained by Dehn filling the cusps of a hyperbolic 3-manifold X, where each filling slope has length more than 2 \pi + \epsilon, then, for any given M and \epsilon > 0, there are only finitely many possibilities for X and for the filling slopes. In...

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Publication status:
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Institution:
University of Oxford
Department:
Oxford, MPLS, Mathematical Inst
Journal:
JOURNAL OF DIFFERENTIAL GEOMETRY
Volume:
50
Issue:
3
Pages:
591-624
Publication date:
1998-11-12
ISSN:
0022-040X
URN:
uuid:faf79891-9db4-4ea0-a53a-20ec079cf2dd
Source identifiers:
20789
Local pid:
pubs:20789
Language:
English
Keywords:

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