Dehn filling, volume, and the Jones polynomial

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dc.creatorFuter, David
dc.creatorKalfagianni, Efstratia
dc.creatorPurcell, Jessica S.
dc.date2006-12-06
dc.date2008-02-13
dc.date.accessioned2026-07-07T12:49:26Z
dc.date.available2026-07-07T12:49:26Z
dc.descriptionGiven a hyperbolic 3-manifold with torus boundary, we bound the change in volume under a Dehn filling where all slopes have length at least 2π. This result is applied to give explicit diagrammatic bounds on the volumes of many knots and links, as well as their Dehn fillings and branched covers. Finally, we use this result to bound the volumes of knots in terms of the coefficients of their Jones polynomials.
dc.descriptionThis version contains corrections to Section 4. Published in Journal of Differential Geometry
dc.identifierhttps://arxiv.org/abs/math/0612138
dc.identifierhttp://arxiv.org/abs/math/0612138
dc.identifierJournal of Differential Geometry 78 (2008), no 3, 429-464
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/222405
dc.subjectGeometric Topology
dc.subjectDifferential Geometry
dc.subject57M25, 57M50
dc.titleDehn filling, volume, and the Jones polynomial
dc.typetext

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