Arithmetic representations of mapping class groups
Publication date
2025
Authors
Looijenga, Eduard
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Article
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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 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.
Keywords
Geometry and Topology
Citation
Looijenga, E 2025, 'Arithmetic representations of mapping class groups', Algebraic and Geometric Topology, vol. 25, no. 2, pp. 677-698. https://doi.org/10.2140/agt.2025.25.677