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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 work and the organizers of the conference have granted their consent to include this abstract in Topology Atlas. Document # calc-09.