A note on the abelianizations of finite-index subgroups of the mapping class group
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Publication:5189199
DOI10.1090/S0002-9939-09-10124-7zbMath1207.57006arXiv0812.0017WikidataQ57254101 ScholiaQ57254101MaRDI QIDQ5189199
Publication date: 8 March 2010
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0812.0017
General low-dimensional topology (57M99) Topological methods in group theory (57M07) Hyperbolic groups and nonpositively curved groups (20F67)
Related Items (10)
On finiteness properties of the Johnson filtrations ⋮ Representation stability in the level 4 braid group ⋮ Unramified correspondences and virtual properties of mapping class groups ⋮ The second variation of the Hodge norm and higher Prym representations ⋮ Applications of quantum representations of mapping class groups ⋮ The Picard group of the moduli space of \(r\)-spin Riemann surfaces ⋮ The Johnson homomorphism and its kernel ⋮ Quotients of the mapping class group by power subgroups ⋮ \(\mathrm{W}^\ast\)-superrigidity for arbitrary actions of central quotients of braid groups ⋮ Retraction of: ``Linear representations of hyperelliptic mapping class groups
Cites Work
- Fundamental groups of moduli stacks of stable curves of compact type
- The structure of the Torelli group. II: A characterization of the group generated by twists on bounding curves
- The structure of the Torelli group. III: The abelianization of \({\mathcal S}\)
- An abelian quotient of the mapping class group \(\mathfrak S\)
- Cutting and pasting in the Torelli group
- Torelli Groups and Geometry of Moduli Spaces of Curves
- Mapping class groups and their relationship to braid groups
- On the first cohomology group of cofinite subgroups in surface mapping class groups
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