Improved stability ranges in the homology of Torelli and congruence subgroups
Abstract
We improve the central stability ranges for H2(Torelli subgroup of Aut(Fn)'s) as GLn(Z)-representations, H2(Torelli subgroup of mapping class groups) as Sp2g(Z)-representations, Hk(congruence subgroups of GLn(R)'s) as SLnU(R/I)-representations.
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