Arithmetic representations of mapping class groups

Eduard Looijenga

doi:10.2140/agt.2025.25.677

Arithmetic representations of mapping class groups

Eduard Looijenga^*

^*Corresponding author for this work

Sub Fundamental Mathematics

Research output: Contribution to journal › Article › Academic › peer-review

Abstract

Let S be a closed oriented surface and G a finite group of orientation-preserving automorphisms of S whose orbit space has genus at least two. There is a natural group homomorphism from the G-centralizer in Diff⁺(S) to the G-centralizer in Sp(H₁(S)). We give a sufficient condition for its image to be a subgroup of finite index.

Original language	English
Pages (from-to)	677-698
Number of pages	22
Journal	Algebraic and Geometric Topology
Volume	25
Issue number	2
DOIs	https://doi.org/10.2140/agt.2025.25.677
Publication status	Published - 2025

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© 2025 MSP (Mathematical Sciences Publishers).

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Arithmetic representations of mapping class groups

Abstract

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