Seminar
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| Location: | SLMath: Eisenbud Auditorium |
Keywords and Mathematics Subject Classification (MSC)
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We define domains of discontinuity for mapping class group actions on the character variety X=Hom(F_3, SL(2,C))//SL(2,C) of the free group F_3 of rank 3. In particular, we consider F_3 as the fundamental group of the four-holed sphere S, and of the three-holed projective plane N, and consider the associated mapping class group actions on X.
In the first part of the talk we describe the combinatorial view point we adopt using trace functions on simple closed curves. And in the second part we sketch the main ideas of the proof. We will also discuss domains of discontinuity for the real character variety Hom(F_3, SL(2,R))//SL(2,R).
(Part of this is joint work with S. P. Tan.)
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