Stable cohomology of Aut(Fn) with bivariant twisted coefficients

IF 1.5 1区数学 Q1 MATHEMATICS

Advances in Mathematics Pub Date : 2025-08-21 DOI:10.1016/j.aim.2025.110483

Erik Lindell

引用次数: 0

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 rational representation

H_{1} (F_{n}, Q)

and its dual, in a range where n is sufficiently large compared to the cohomological degree and the number of tensor factors.

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具有双变扭系数的Aut（Fn）的稳定上同调

我们计算了自由群Fn的自同构群的上同调群，其系数在标准有理式H1（Fn，Q）及其对偶的任意张量积中，且n相对于上同调度和张量因子的数目足够大。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Advances in Mathematics 数学-数学

CiteScore

2.80

自引率

5.90%

发文量

497

审稿时长

7.5 months

期刊介绍： Emphasizing contributions that represent significant advances in all areas of pure mathematics, Advances in Mathematics provides research mathematicians with an effective medium for communicating important recent developments in their areas of specialization to colleagues and to scientists in related disciplines.