Linear stable range for homology of congruence subgroups via FI-modules
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Publication:2323546
DOI10.1007/s00029-019-0500-0zbMath1451.18004arXiv1712.00890OpenAlexW2970502315WikidataQ127312106 ScholiaQ127312106MaRDI QIDQ2323546
Publication date: 3 September 2019
Published in: Selecta Mathematica. New Series (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1712.00890
Cohomology of groups (20J06) Resolutions; derived functors (category-theoretic aspects) (18G10) Other matrix groups over rings (20H25) Chain complexes (category-theoretic aspects), dg categories (18G35) Functor categories, comma categories (18A25)
Related Items (6)
Linear and quadratic ranges in representation stability ⋮ Regularity and stable ranges of \textbf{FI}-modules ⋮ Representation stability for pure braid group Milnor fibers ⋮ 𝖥𝖨-hyperhomology and ordered configuration spaces ⋮ Stability in the high-dimensional cohomology of congruence subgroups ⋮ A generating function approach to new representation stability phenomena in orbit configuration spaces
Cites Work
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- Linear and quadratic ranges in representation stability
- Homological invariants of \(\mathrm{FI}\)-modules and \(\mathrm{FI}_{G}\)-modules
- Central stability for the homology of congruence subgroups and the second homology of Torelli groups
- FI-modules and stability for representations of symmetric groups
- Homology of FI-modules
- Representation stability and finite linear groups
- Sur l'homologie des groupes unitaires à coefficients polynomiaux
- 𝖥𝖨-hyperhomology and ordered configuration spaces
- On central stability
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