Morita classes in the homology of \(\Aut(F_n)\) vanish after one stabilization.

DOI10.4171/GGD/33zbMath1148.20036arXivmath/0606510MaRDI QIDQ2475046

James Conant, Karen Vogtmann

Publication date: 20 March 2008

Published in: Groups, Geometry, and Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0606510

zbMATH Keywords

automorphism groups of free groupshomology classesgraph homologyMorita classeschain complexesouter spacecohomology of automorphism groupsMorita cyclesunstable rational homology

Mathematics Subject Classification ID

Geometric group theory (20F65) 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)

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Cites Work

• Stable homology of automorphism groups of free groups.
• Abelian quotients of subgroups of the mapping class group of surfaces
• Rational homology of \(\Aut(F_n)\).
• Homology stability for outer automorphism groups of free groups.
• Automorphisms of free groups and outer space
• Morita classes in the homology of automorphism groups of free groups.
• Erratum to: Homology stability for outer automorphism groups of free groups.
• Cerf Theory for Graphs
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