Constraining mapping class group homomorphisms using finite subgroups

We classify homomorphisms from mapping class groups by using arguments involving finite subgroups. First, we give a new proof of a result of Aramayona–Souto that all homomorphisms between certain mapping class groups of closed surfaces are trivial. Second, we show that only finitely many mapping cla...

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Veröffentlicht in:	Geometriae dedicata 2024-10, Vol.218 (5), Article 100
Hauptverfasser:	Chen, Lei, Lanier, Justin
Format:	Artikel
Sprache:	eng
Schlagworte:	Algebraic Geometry Convex and Discrete Geometry Differential Geometry Homomorphisms Hyperbolic Geometry Mapping Mathematics Mathematics and Statistics Original Paper Projective Geometry Subgroups Topology
Online-Zugang:	Volltext
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