Rice University

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Seminar

Mathematics

Speaker: Funda Gultepe
UIUC

Topology Seminar: Cannon--Thurston maps for curve complexes of punctured surfaces

Friday, April 21, 2017
4:00 PM  to 5:00 PM

427  Herman Brown Hall
Rice University
6100 Main St
Houston, Texas, USA

Using Birman exact sequence for mapping class groups, we define a map between curve complexes of punctured surfaces which is induced by the forgetful map between two punctured surfaces. We prove the existence of a Cannon--Thurston map for the boundary of the curve complex whose curves survive after forgetting a marked point hence extending an earlier result of Leininger-- Mj--Schleimer. This is joint work with Christopher J. Leininger and Witsarut Pho-on.

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