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Knots in Washington XVI; Conference on Knot Theory and its Ramifications
May 5-7, 2003
University of Maryland
College Park, MD, USA

Organizers
Marta M.Asaeda (UMD), William M.Goldman (UMD), John J.Millson (UMD), Jozef H.Przytycki (GWU)

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Dynamics of the modular group acting on GL(2, R)-characters of a once-punctured torus.
by
George Stantchev
University of Maryland at College Park

The SL(2, C) character variety of a free group of rank 2 contains certain components that correspond to representations in PGL(2, R), the full isometry group of hyperbolic 2-space. I will discuss how to identify these components with R3 and how to parametrize the subsets that correspond to discrete embeddings. I will also discuss the action of the modular group on the set of characters of discrete embeddings and compare it with the action on the complement of this set in R3.

Date received: April 30, 2003

Copyright © 2003 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 Mathematical Conference Abstracts. Document # calc-09.