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SL_2(C)-Character Varieties of 2-bridge knots
by
Melissa Macasieb
University of Maryland
Coauthors: Ronald van Luijk
Kathleen Petersen
To every hyperbolic finite volume 3-manifold M, one can associate a pair of related algebraic varieties X(M) and Y(M), the SL_2(C)- and PSL_2(C)-character varieties of M. These varieties carry much topological information about M, but are in general difficult to compute. If M has one cusp, then both these varieties have dimension one. In this talk, I will also show how to obtain explicit equations for the character varieties associated to a family of hyperbolic 2-bridge knot complements.
Paper reference: arxiv:0902.2195
Date received: February 27, 2009
Copyright © 2009 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 # cayk-19.