Rice University Department of Mathematics Colloquium

Pseudo-Anosov homeomorphisms and homology

4:00 pm Thursday, February 4th, 2016
Chris Leininger (UIUC)

Abstract: Associated to a pseudo-Anosov homeomorphism of a surface is an invariant called the "stretch factor", which has multiple geometric and dynamical interpretations. I will explain what pseudo-Anosov homeomorphisms through examples, and describe the various interpretations of the stretch factor. Then I will turn to a discussion of joint work with Agol and Margalit providing new connections between the stretch factor of a pseudo-Anosov homeomorphism and its action on homology.

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