Cusp volumes of alternating knots

Author: 

Lackenby, M
Purcell, J

Publication Date: 

23 October 2014

Journal: 

Geometry and Topology

Last Updated: 

2019-04-26T09:03:17.607+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.

Symplectic id: 

488519

Download URL: 

Submitted to ORA: 

Submitted

Publication Type: 

Journal Article