On the wheeled PROP of stable cohomology of \(\mathrm{Aut}(F_n)\) with bivariant coefficients

DOI10.2140/agt.2023.23.3089zbMath1530.20101arXiv2105.14497OpenAlexW3170136013MaRDI QIDQ6188362

Nariya Kawazumi, Christine Vespa

Publication date: 11 January 2024

Published in: Algebraic \& Geometric Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2105.14497

zbMATH Keywords

homological algebracohomology of automorphisms of free groupswheeled PROP

Mathematics Subject Classification ID

Cohomology of groups (20J06) Automorphism groups of groups (20F28) Free nonabelian groups (20E05) Polycategories/dioperads, properads, PROPs, cyclic operads, modular operads (18M85)

Cites Work

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• Cohomology of polynomial functors on free groups
• Wheeled pro(p)file of Batalin-Vilkovisky formalism
• Wheeled PROPs, graph complexes and the master equation
• The extension of Johnson's homomorphism from the Torelli group to the mapping class group
• Cohomology of automorphism groups of free groups with twisted coefficients
• General linear and functor cohomology over finite fields
• Homology of automorphism groups of free groups with polynomial coefficients.
• Homological stability for automorphism groups
• Cohomology of algebraic theories
• Operads and PROPs
• Graph Complexes with Loops and Wheels
• Extensions between functors from free groups
• Traced monoidal categories
• Polynomial Functors from Algebras Over a Set-Operad and Nonlinear Mackey Functors
• Décomposition de Hodge pour l’homologie stable des groupes d’automorphismes des groupes libres
• Categorical algebra
• Algebraic Operads
• The primary approximation to the cohomology of the moduli space of curves and cocycles for the stable characteristic classes

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