Volume, twist number, and the Jones polynomial of hyperbolic knots

  • Date: 12/18/2006

Dave Futer (Michigan State University)


University of British Columbia


I will describe a few results that relate combinatorial data about a
knot or link projection to geometric and topological information about
the link complement. For a large family of knots and links, one single
piece of diagrammatic data (the twist number) coarsely determines the
volume of the link and several coefficients of its Jones polynomial,
with explicit constants. The volume estimates rely on a new result
about the change in volume under Dehn surgery. This is joint work with
Effie Kalfagianni and Jessica Purcell.

Other Information: 

Algebraic Topology Seminar 2006