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G^3 = Geometric Group Theory on the Gulf Coast Conference
March 20-23, 2008

Pensacola Beach, Florida, USA

Organizers
Josh Barnard, Igor Belegradek, Igor Mineyev.

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Cannon-Thurston maps and the complex of curves
by
Chris Leininger
UIUC
Coauthors: Mahan Mj and Saul Schleimer

I'll describe a kind of universal Cannon--Thurston map associated to the Birman Exact Sequence for mapping class groups and the action on the complex of curves. As a consequence, we show that the Gromov boundary of 1-punctured surface curve complexes are locally path connected and path connected.

Date received: January 23, 2008

Copyright © 2008 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 # cawj-05.