Universal bounds for hyperbolic Dehn surgery

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dc.creatorHodgson, Craig D.
dc.creatorKerckhoff, Steven P.
dc.date2002-04-30
dc.date.accessioned2026-07-07T04:48:08Z
dc.date.available2026-07-07T04:48:08Z
dc.descriptionThis 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.
dc.description45 pages, 2 figures
dc.identifierhttps://arxiv.org/abs/math/0204345
dc.identifierhttp://arxiv.org/abs/math/0204345
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/63934
dc.subjectGeometric Topology
dc.subjectDifferential Geometry
dc.subject57M50, 57N10, 57M25, 53C25
dc.titleUniversal bounds for hyperbolic Dehn surgery
dc.typetext

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