Universal bounds for hyperbolic Dehn surgery

• Autores: Steven Kerckhoff, Craig Hodgson
• Localización: Annals of mathematics, ISSN 0003-486X, Vol. 162, Nº 1, 2005, págs. 367-421
• Idioma: inglés
• DOI: 10.4007/annals.2005.162.367
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• Resumen

  • 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 conemanifold structures, using infinitesimal harmonic deformations and analysis of geometric limits.