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Interactions Between Hyperbolic Geometry, Quantum Topology and Number Theory
June 3-19, 2009
Columbia University
New York, USA

Organizers
Abhijit Champanerkar (CSI, CUNY), Oliver Dasbach (LSU), Effie Kalfagianni (MSU), Ilya Kofman (CSI, CUNY), Walter Neumann (Barnard College, Columbia U.), Neal Stoltzfus (LSU)

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Knots with long unknotting tunnels
by
David Futer
Temple University
Coauthors: Daryl Cooper, Jessica Purcell

I will describe an explicit construction that gives knots in S^3 that have arbitrarily long unknotting tunnels. The knots are obtained by Dehn filling two components of a specific 3-component link, which allows detailed control over the geometry. An additional feature of these knots is that their volumes are bounded while the twist number of any diagram goes to infinity.

Date received: June 11, 2009

Copyright © 2009 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cayy-38.