Integral Euler Characteristic of OutF11

DOI10.1080/10586458.2014.956373zbMath1315.20037arXiv1405.4063OpenAlexW3102295887MaRDI QIDQ5246362

Masaaki Suzuki, Shigeyuki Morita, Takuya Sakasai

Publication date: 21 April 2015

Published in: Experimental Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1405.4063

zbMATH Keywords

cohomology classesouter automorphism groupsfree groupshomology classesintegral Euler characteristic

Mathematics Subject Classification ID

Cohomology of groups (20J06) Automorphism groups of groups (20F28) Free nonabelian groups (20E05)

Related Items (4)

The topology and geometry of automorphism groups of free groups ⋮ The Euler characteristic of the moduli space of graphs ⋮ Characteristic classes of moduli spaces— Riemann surface, graph, homology cobordism ⋮ An Abelian Quotient of the Symplectic Derivation Lie Algebra of the Free Lie Algebra

Cites Work

• Stable homology of automorphism groups of free groups.
• Moduli of graphs and automorphisms of free groups
• Rational homology of \(\Aut(F_n)\).
• The Euler characteristic of the moduli space of curves
• A generating function for the Euler characteristic of \(Out(F_ n)\)
• On a theorem of Kontsevich
• Morita classes in the homology of automorphism groups of free groups.
• The equivariant Euler characteristic of moduli spaces of curves
• Hairy graphs and the unstable homology of Mod(g , s ), Out(F _n ) and Aut(F _n )
• Worlds Out of Nothing

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