Stable cohomology of $Aut(F_n)$ with bivariant twisted coefficients

Abstract

We compute the cohomology groups of the automorphism group of the free group $F_n$, with coefficients in arbitrary tensor products of the standard representation $H_1(F_n,\mathbb{Q})$ and its dual, in a range where $n$ is sufficiently large compared to the cohomological degree and the number of tensor factors.

arXiv commentMajor revision. To appear in Advances in Mathematics. 37 pages, 6 figures

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