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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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Geometric limits of knot complements
by
Jessica Purcell
Brigham Young University

Any complete hyperbolic 3-manifold that is homeomorphic to a submanifold of the 3-sphere, has finititely generated fundamental group, and a single topological end must be a geometric limit of a sequence of hyperbolic knot complements. In particular, knot complements can admit hyperbolic metrics with unusual and perhaps unexpected geometric properties. This is joint with Juan Souto.

Date received: June 8, 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-35.