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A stability conjecture for the unstable cohomology of SL_n Z, mapping class groups, and Aut(F_n)

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Publication:3456246
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zbMath1377.11065arXiv1208.3216MaRDI QIDQ3456246

Benson Farb, Andrew Putman, Thomas Church

Publication date: 11 December 2015

Full work available at URL: https://arxiv.org/abs/1208.3216


zbMATH Keywords

mapping class groupsvanishingSteinberg stabilizationunstable rational cohomology


Mathematics Subject Classification ID

Automorphism groups of groups (20F28) Cohomology theory for linear algebraic groups (20G10) Cohomology of arithmetic groups (11F75)


Related Items (8)

The high-dimensional cohomology of the moduli space of curves with level structures ⋮ Modular characteristic classes for representations over finite fields ⋮ Improved homological stability for certain general linear groups ⋮ Between buildings and free factor complexes: A Cohen–Macaulay complex for Out(RAAGs) ⋮ Tropical curves and covers and their moduli spaces ⋮ Homological vanishing for the Steinberg representation ⋮ Stability in the high-dimensional cohomology of congruence subgroups ⋮ Tropical curves, graph complexes, and top weight cohomology of ℳ_{ℊ}




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