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Knots in Washington XXVIII; Follow up to Workshop on "Knots and Quantum Computing (December, 2007 at UT Dallas)
February 27 - March 1, 2009
George Washington University
Washington, DC, USA

Organizers
Mieczyslaw K. Dabkowski (UTD), Jozef H. Przytycki (GWU), Vish Ramakrishna (UTD), Yongwu Rong (GWU), Alexander Shumakovitch (GWU), Kouki Taniyama (Waseda and GWU), Hao Wu (GWU)

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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 document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cayk-19.