Towards representation stability for the second homology of the Torelli group.

DOI10.2140/gt.2012.16.1725zbMath1282.20053arXiv1101.5767OpenAlexW2963990095MaRDI QIDQ441132

Mia Hauge Dollerup, Søren K. Boldsen

Publication date: 20 August 2012

Published in: Geometry \& Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1101.5767

zbMATH Keywords

homology groupsTorelli grouphomological stabilityrepresentation stability

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05) Cohomology of groups (20J06) General geometric structures on low-dimensional manifolds (57M50) Cohomology theory for linear algebraic groups (20G10)

Related Items (8)

On the second homology group of the Torelli subgroup of \(\Aut(F_n)\) ⋮ Partial Torelli groups and homological stability ⋮ ON THE COHOMOLOGY OF TORELLI GROUPS ⋮ Representation theory and homological stability. ⋮ Topology of arrangements and representation stability. Abstracts from the workshop held January 14--20, 2018 ⋮ Representation stability for filtrations of Torelli groups ⋮ Equivariant group presentations and the second homology group of the Torelli group ⋮ Central stability for the homology of congruence subgroups and the second homology of Torelli groups

Cites Work

• The Johnson homomorphism and its kernel
• An infinite presentation of the Torelli group
• Stability of the homology of the mapping class groups of orientable surfaces
• Representation theory and homological stability.
• Cutting and pasting in the Torelli group
• Resolutions of moduli spaces and homological stability
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