Automorphisms of the mapping class group of a nonorientable surface

Ferihe Atalan , Błażej Szepietowski


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 (FMPI/IM)
Błażej Szepietowski,,
- Institute of Mathematics
Other language title versions
Journal seriesGeometriae Dedicata, ISSN 0046-5755, (A 20 pkt)
Issue year2017
Publication size in sheets0.90
Keywords in Englishnonorientable surface, mapping class group, outer automorphism
ASJC Classification2608 Geometry and Topology
Languageen angielski
LicenseOther; published final; Uznanie Autorstwa (CC-BY); with publication
Score (nominal)20
Score sourcejournalList
ScoreMinisterial score = 20.0, 21-07-2020, ArticleFromJournal
Publication indicators WoS Citations = 2.000; Scopus SNIP (Source Normalised Impact per Paper): 2017 = 1.076; WoS Impact Factor: 2017 = 0.612 (2) - 2017=0.644 (5)
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