On the homology groups of the mapping class groups of orientable surfaces with twisted coefficients

DOI10.3792/PJAA.62.148zbMath0595.57010OpenAlexW2085196858MaRDI QIDQ1077760

Shigeyuki Morita

Publication date: 1986

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.62.148

zbMATH Keywords

mapping class groupssecond homology groupclosed orientable surface of genus g

Mathematics Subject Classification ID

Homological methods in group theory (20J05) Fundamental groups and their automorphisms (group-theoretic aspects) (20F34) Differential topological aspects of diffeomorphisms (57R50)

Related Items (5)

On the homology groups of the mapping class groups of orientable surfaces with twisted coefficients ⋮ Surface bundles and the section conjecture ⋮ First cohomologies and the Johnson homomorphisms of the automorphism group of a free group. ⋮ Floer cohomology and pencils of quadrics ⋮ \(E_2\)-cells and mapping class groups

Cites Work

• The second homology group of the mapping class group of an orientable surface
• Family of Jacobian manifolds and characteristic classes of surface bundles
• Stability of the homology of the mapping class groups of orientable surfaces
• On the homology groups of the mapping class groups of orientable surfaces with twisted coefficients
• Family of Jacobian manifolds and characteristic classes of surface bundles. II
• A presentation for the mapping class group of a closed orientable surface
• Families of Riemann surfaces and Jacobi varieties
• The Euler characteristic of the moduli space of curves
• Characteristic classes of surface bundles

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