Towards representation stability for the second homology of the Torelli group.
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Publication:441132
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
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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