Stable cohomology of $Aut(F_n)$ with bivariant twisted coefficients
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arXiv
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| Format: | Preprint |
| Published: |
2022
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| _version_ | 1866909745565138944 |
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| author | Lindell, Erik |
| author_facet | Lindell, Erik |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2212_11075 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Stable cohomology of $Aut(F_n)$ with bivariant twisted coefficients Lindell, Erik Algebraic Topology Group Theory 20F28, 20J06 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. |
| title | Stable cohomology of $Aut(F_n)$ with bivariant twisted coefficients |
| topic | Algebraic Topology Group Theory 20F28, 20J06 |
| url | https://arxiv.org/abs/2212.11075 |