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March 2008 Dehn filling, volume, and the Jones polynomial
D. Futer, E. Kalfagianni, J. Purcel
J. Differential Geom. 78(3): 429-464 (March 2008). DOI: 10.4310/jdg/1207834551

Abstract

Given 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.

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D. Futer. E. Kalfagianni. J. Purcel. "Dehn filling, volume, and the Jones polynomial." J. Differential Geom. 78 (3) 429 - 464, March 2008. https://doi.org/10.4310/jdg/1207834551

Information

Published: March 2008
First available in Project Euclid: 10 April 2008

zbMATH: 1144.57014
MathSciNet: MR2396249
Digital Object Identifier: 10.4310/jdg/1207834551

Rights: Copyright © 2008 Lehigh University

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Vol.78 • No. 3 • March 2008
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