Stable cohomology of Aut(F_n) with bivariant twisted coefficients

2022/12/21 by Erik Lindell, Lindell, Erik
Mathematics · #20F28 #20J06 #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #Algebraic Topology (math.AT) #FOS: Mathematics #Geometric and Algebraic Topology #Group Theory (math.GR)

paper · pdf · doi:10.48550/arxiv.2212.11075

openalex publication_date 2022/12/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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 H₁(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.

Related

• The stable cohomology of automorphisms of free groups with coefficients in the homology representation
• Cohomoloy of Aut(F_n)
• On the stable cohomology of the IA-automorphism groups of free groups
• The walled Brauer category and stable cohomology of IA_n
• First cohomology groups of the automorphism group of a free group with coefficients in the abelianization of the IA-automorphism group