Journal title
Geometry and Topology
Last updated
2024-04-25T20:14:43.343+01:00
Abstract
We show that the cusp volume of a hyperbolic alternating knot can be bounded
above and below in terms of the twist number of an alternating diagram of the
knot. This leads to diagrammatic estimates on lengths of slopes, and has some
applications to Dehn surgery. Another consequence is that there is a universal
lower bound on the cusp density of hyperbolic alternating knots.
above and below in terms of the twist number of an alternating diagram of the
knot. This leads to diagrammatic estimates on lengths of slopes, and has some
applications to Dehn surgery. Another consequence is that there is a universal
lower bound on the cusp density of hyperbolic alternating knots.
Symplectic ID
488519
Download URL
http://arxiv.org/abs/1410.6297v3
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Publication type
Journal Article
Publication date
23 Oct 2014