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• W2029121317 abstract "This paper gives the first explicit, two-sided estimates on the cusp area of once-punctured torus bundles, 4-punctured sphere bundles, and 2-bridge link complements. The input for these estimates is purely combinatorial data coming from the Farey tesselation of the hyperbolic plane. The bounds on cusp area lead to explicit bounds on the volume of Dehn fillings of these manifolds, for example sharp bounds on volumes of hyperbolic closed 3-braids in terms of the Schreier normal form of the associated braid word. Finally, these results are applied to derive relations between the Jones polynomial and the volume of hyperbolic knots, and to disprove a related conjecture." @default.
• W2029121317 created "2016-06-24" @default.
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• W2029121317 date "2010-03-22" @default.
• W2029121317 modified "2023-10-16" @default.
• W2029121317 title "Cusp Areas of Farey Manifolds and Applications to Knot Theory" @default.
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• W2029121317 doi "https://doi.org/10.1093/imrn/rnq037" @default.
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