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Homology and dynamics in quasi-isometric rigidity of once-punctured mapping class groups

Lee Mosher
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Abstract

In these lecture notes, we combine recent homological methods of Kevin Whyte with older dynamical methods developed by Benson Farb and myself, to obtain a new quasi-isometric rigidity theorem for the mapping class group MCG(S) of a once punctured surface S of genus at least 2: if K is a finitely generated group quasi-isometric to MCG(S) then there is a homomorphism K -> MCG(S) with finite kernel and finite index image. This theorem is joint with Kevin Whyte.

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BibTeXRIS

Lee Mosher. 2003-08-07. Homology and dynamics in quasi-isometric rigidity of once-punctured mapping class groups. https://arxiv.org/abs/math/0308065

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