Universal bounds for hyperbolic Dehn surgery

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This paper gives a quantitative version of Thurston's hyperbolic Dehn surgery theorem. Applications include the first universal bounds on the number of non-hyperbolic Dehn fillings on a cusped hyperbolic 3-manifold, and estimates on the changes in volume and core geodesic length during hyperbolic Dehn filling. The proofs involve the construction of a family of hyperbolic cone-manifold structures, using infinitesimal harmonic deformations and analysis of geometric limits.
45 pages, 2 figures

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Geometric Topology, Differential Geometry, 57M50, 57N10, 57M25, 53C25

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http://salesiana.dossiersoluciones.com/handle/123456789/63934

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0204345
 http://arxiv.org/abs/math/0204345

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arXiv