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Topics in Geometric Group Theory |
| November 05, 2007 to November 09, 2007 |
| Organized By: Noel Brady, Mike Davis, Mark Feighn |
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| Parent Programs: |
| Geometric Group Theory |
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| Return to Workshop Description |
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Global fixed points for centralizers and Morita's Theorem (joint work with
John Franks)
Thursday November 8, 2007
10:30AM - 11:20AM
Speakers:
Michael Handel
Abstract:
We prove that the mapping class group of a closed surface $S$ does not
lift to the diffeomorphism group $\Diff(S)$ of $S$ if the genus of $S$ is greater
than or equal to $3$. The proof makes uses of the Thurston stability theorem and
a fixed point theorem for certain subgroups of $\Homeo(D^2)$. If time permits, I
will also discuss a semi-conjugacy result for homeomorphisms in a pseudo-Anosov
mapping class.
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