The top homology group of the genus 3 Torelli group

DOI10.1112/topo.12308zbMath1522.20215arXiv2208.10326MaRDI QIDQ6072548

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Publication date: 15 September 2023

Published in: Journal of Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2208.10326

Mathematics Subject Classification ID

Cohomology of groups (20J06) Topological methods in group theory (57M07) Homological methods in group theory (20J05)

Cites Work

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• Generating the Torelli group
• The structure of the Torelli group. I: A finite set of generators for \({\mathcal I}\)
• Abelian and solvable subgroups of the mapping class group
• The structure of the Torelli group. III: The abelianization of \({\mathcal S}\)
• The genus 2 Torelli group is not finitely generated
• The Torelli groups for genus 2 and 3 surfaces
• The rational cohomology ring of the moduli space of abelian 3-folds.
• The dimension of the Torelli group
• On a spectral sequence for the action of the Torelli group of genus on the complex of cycles

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