Automorphisms of the mapping class group of a nonorientable surface
Ferihe Atalan , Błażej Szepietowski
AbstractLet S be a nonorientable surface of genus g≥5 with n≥0 punctures, and Mod(S) its mapping class group. We define the complexity of S to be the maximum rank of a free abelian subgroup of Mod(S). Suppose that S1 and S2 are two such surfaces of the same complexity. We prove that every isomorphism Mod(S1)→Mod(S2) is induced by a diffeomorphism S1→S2. This is an analogue of Ivanov’s theorem on automorphisms of the mapping class groups of an orientable surface, and also an extension and improvement of the first author’s previous result.
|Other language title versions|
|Journal series||Geometriae Dedicata, ISSN 0046-5755|
|Publication size in sheets||0.9|
|Keywords in English||nonorientable surface, mapping class group, outer automorphism|
|Score|| = 20.0, 20-12-2017, ArticleFromJournal|
= 20.0, 20-12-2017, ArticleFromJournal
|Publication indicators||: 2016 = 0.609 (2) - 2016=0.571 (5)|
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