Geodesic
Universal bounds for hyperbolic Dehn surgery
Craig Hodgson1 ; Steven P. Kerckhoff2
1 Department of Mathematics and Statistics, University of Melbourne, Victoria 3010, Australia
2 Department of Mathematics, Stanford University, Stanford, CA 94305, United States
Annals of mathematics, Tome 162 (2005) no. 1, pp. 367-421.

Voir la notice de l'article provenant de la source Annals of Mathematics website

This paper gives a quantitative version of Thurston’s hyperbolic Dehn surgery theorem. Applications include the first universal bounds on the number of nonhyperbolic 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.
DOI : 10.4007/annals.2005.162.367

Craig Hodgson 1 ; Steven P. Kerckhoff 2

1 Department of Mathematics and Statistics, University of Melbourne, Victoria 3010, Australia
2 Department of Mathematics, Stanford University, Stanford, CA 94305, United States 
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Craig Hodgson; Steven P. Kerckhoff. Universal bounds for hyperbolic Dehn surgery. Annals of mathematics, Tome 162 (2005) no. 1, pp. 367-421. doi : 10.4007/annals.2005.162.367. http://geodesic.mathdoc.fr/articles/10.4007/annals.2005.162.367/

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