An application of homotopy theory to mapping class groups

DOI10.1016/0022-4049(87)90020-XzbMath0617.57006MaRDI QIDQ1822095

Ronnie Lee, Ruth M. Charney

Publication date: 1987

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

zbMATH Keywords

image of the J- homomorphismmapping class group of a closed orientable surface of genus gstable cohomology of mapping class group of a surface

Mathematics Subject Classification ID

Connections of group theory with homological algebra and category theory (20J99) Differential topological aspects of diffeomorphisms (57R50) (J)-morphism (55Q50)

Related Items

The equisymmetric stratification of the moduli space and the Krull dimension of mapping class groups, Spaces of graphs and surfaces: on the work of Søren Galatius, Riemann-Hurwitz formula for Morita-Mumford classes and surface symmetries

Cites Work

• The cohomology of \(F\Psi^ q\). The additive structure
• Stability of the homology of the mapping class groups of orientable surfaces
• Characteristic classes for the classifying spaces of Hodge structures
• Homology of classical groups over finite fields and their associated infinite loop spaces
• Torsion in the mapping class group and its cohomology
• Homotopy commutative H-spaces
• On the groups \(J(X)\). IV
• The Adams conjecture