Crossed homomorphisms and low dimensional representations of mapping class groups of surfaces

DOI10.1090/tran/9037arXiv2202.06368MaRDI QIDQ6138029

Yasushi Kasahara

Publication date: 16 January 2024

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2202.06368

zbMATH Keywords

eigenvaluescohomologyeigenspacesmapping class groupslow dimensional linear representations

Mathematics Subject Classification ID

Other groups related to topology or analysis (20F38) Algebraic systems of matrices (15A30) 2-dimensional topology (including mapping class groups of surfaces, Teichmüller theory, curve complexes, etc.) (57K20)

Related Items (1)

Cohomologies of difference Lie groups and the van Est theorem

Cites Work

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• On the Residual Finiteness of Certain Mapping Class Groups
• Surface mapping class groups are ultrahopfian
• Torelli Groups and Geometry of Moduli Spaces of Curves
• Geometric subgroups of mapping class groups
• Low‐dimensional linear representations of mapping class groups

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