Automorphisms of the mapping class group of a nonorientable surface

Ferihe Atalan , Błażej Szepietowski

Abstract

Let 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.
Author Ferihe Atalan
Ferihe Atalan,,
-
, Błażej Szepietowski IM
Błażej Szepietowski,,
- Institute of Mathematics
Other language title versions
Journal seriesGeometriae Dedicata, ISSN 0046-5755
Issue year2017
Vol189
No1
Pages39-57
Publication size in sheets0.9
Keywords in Englishnonorientable surface, mapping class group, outer automorphism
DOIDOI:10.1007/s10711-016-0216-7
URL http://link.springer.com/article/10.1007/s10711-016-0216-7/fulltext.html
Languageen angielski
Score (nominal)20
ScoreMinisterial score = 20.0, 20-12-2017, ArticleFromJournal
Ministerial score (2013-2016) = 20.0, 20-12-2017, ArticleFromJournal
Publication indicators WoS Impact Factor: 2016 = 0.609 (2) - 2016=0.571 (5)
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