Geodesic
Arithmetic representations of mapping class groups
Looijenga, Eduard1
1Mathematics Department, University of Chicago, Chicago, IL, United States, Mathematisch Instituut, Universiteit Utrecht, Utrecht, Netherlands
Algebraic and Geometric Topology, Tome 25 (2025) no. 2, pp. 677-698
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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.

DOI : 10.2140/agt.2025.25.677
Keywords: mapping class group, arithmetic representation, arithmetic group

Looijenga, Eduard  1

1 Mathematics Department, University of Chicago, Chicago, IL, United States, Mathematisch Instituut, Universiteit Utrecht, Utrecht, Netherlands 
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Looijenga, Eduard. Arithmetic representations of mapping class groups. Algebraic and Geometric Topology, Tome 25 (2025) no. 2, pp. 677-698. doi: 10.2140/agt.2025.25.677

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