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Analytic actions of mapping class groups on surfaces
Author(s) -
Cantat Serge,
Cerveau Dominique
Publication year - 2008
Publication title -
journal of topology
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.447
H-Index - 31
eISSN - 1753-8424
pISSN - 1753-8416
DOI - 10.1112/jtopol/jtn028
Subject(s) - mathematics , mapping class group , genus , class (philosophy) , action (physics) , euler characteristic , euler's formula , pure mathematics , surface (topology) , group (periodic table) , combinatorics , discrete mathematics , mathematical analysis , geometry , artificial intelligence , computer science , botany , chemistry , physics , organic chemistry , quantum mechanics , biology
Let Σ be a closed orientable surface of genus g ⩾ 3. Let Γ be any finite index subgroup of the mapping class group of Σ. We prove that there is no faithful analytic action of Γ on compact surfaces with nonzero Euler characteristic.