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Journal of Topology 2008 1(4):910-922; doi:10.1112/jtopol/jtn028
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© 2008 London Mathematical Society

Analytic actions of mapping class groups on surfaces

Serge Cantat and Dominique Cerveau

Département de mathématiques, CNRS and Université de Rennes 1, Institut de Recherche Mathématiques de Rennes, Bâtiment 22–23 du Campus de Beaulieu, 35042 Rennes cedex, France serge.cantat@univ-rennes1.fr dominique.cerveau@univ-rennes1.fr


  Abstract

Let {Sigma} be a closed orientable surface of genus g >= 3. Let {Gamma} be any finite index subgroup of the mapping class group of {Sigma}. We prove that there is no faithful analytic action of {Gamma} on compact surfaces with nonzero Euler characteristic.

Received June 18, 2008.

2000 Mathematics Subject Classification 20F34, 20F38, 57S05, 57S25, 37E30


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