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Stable cohomology of $Aut(F_n)$ with bivariant twisted coefficients (2212.11075v1)
Published 21 Dec 2022 in math.AT and math.GR
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.