Assembling homology classes in automorphism groups of free groups

DOI10.4171/CMH/402zbMath1396.20057arXiv1501.02351OpenAlexW2167699131MaRDI QIDQ2374419

James Conant, Karen Vogtmann, Martin Kassabov, Allen E. Hatcher

Publication date: 15 December 2016

Published in: Commentarii Mathematici Helvetici (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1501.02351

zbMATH Keywords

cohomologyautomorphisms of free groupsmoduli spaces of graphs

Mathematics Subject Classification ID

Cohomology of groups (20J06) Topological methods in group theory (57M07) Homological methods in group theory (20J05) Automorphism groups of groups (20F28) Free nonabelian groups (20E05)

Related Items (16)

The topology and geometry of automorphism groups of free groups ⋮ Higher operations in string topology of classifying spaces ⋮ Modular characteristic classes for representations over finite fields ⋮ Lie graph homology model for \(\mathfrak{grt}_1\) ⋮ The Euler characteristic of the moduli space of graphs ⋮ Wheel graph homology classes via Lie graph homology ⋮ The stable cohomology of self-equivalences of connected sums of products of spheres ⋮ Graph homology computations ⋮ Unnamed Item ⋮ Six operations formalism for generalized operads ⋮ Characteristic classes of moduli spaces— Riemann surface, graph, homology cobordism ⋮ The Euler characteristic of out \((F_n)\) ⋮ On the low-dimensional cohomology groups of the IA-automorphism group of the free group of rank three ⋮ Feynman amplitudes on moduli spaces of graphs ⋮ Moduli spaces of colored graphs ⋮ Outer Space as a Combinatorial Backbone for Cutkosky Rules and Coactions

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