TY - JOUR
T1 - Dehn filling, volume, and the Jones polynomial
AU - Futer, David
AU - Kalfagianni, Efstratia
AU - Purcell, Jessica S.
PY - 2008/1/1
Y1 - 2008/1/1
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=41749103565&partnerID=8YFLogxK
U2 - 10.4310/jdg/1207834551
DO - 10.4310/jdg/1207834551
M3 - Article
AN - SCOPUS:41749103565
SN - 0022-040X
VL - 78
SP - 429
EP - 464
JO - Journal of Differential Geometry
JF - Journal of Differential Geometry
IS - 3
ER -