Analytic actions of mapping class groups on surfaces | Zendy

Cantat Serge | Zendy; Cerveau Dominique | Zendy

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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.

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