Arithmetic representations of mapping class groups

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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 2. 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.

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Eduard Looijenga (Fri,) studied this question.

synapsesocial.com/papers/68e55b4ce2b3180350ef88d3 https://doi.org/https://doi.org/10.2140/agt.2025.25.677

Also Consider

Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context:

1Prym Representations of Mapping Class Groups1997 · 65 citations
2Discrete Subgroups of Semisimple Lie Groups1991 · 1,243 citations
3A note on generators for arithmetic subgroups of algebraic groups1992 · 30 citations
4Exceptional hodge classes on certain abelian varieties1984 · 57 citations
5Linear Algebraic Groups1998 · 1,292 citations

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