Torsion in the mapping class group and its cohomology

DOI10.1016/0022-4049(87)90023-5zbMath0617.57005OpenAlexW2067441117MaRDI QIDQ1822094

Guido Mislin, Henry H. Glover

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1016/0022-4049(87)90023-5

zbMATH Keywords

Chern classesBernoulli numberChern classes of representations of cyclic groupsmapping class group of a closed orientable surface of genus gstable cohomology group 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)

Related Items

On the non-vanishing of the powers of the Euler class for mapping class groups, On the cohomology of the hyperelliptic mapping class group, Characteristic classes for the classifying spaces of Hodge structures, Generating mapping class groups with elements of fixed finite order, The finite group action and the equivariant determinant of elliptic operators. II, The equisymmetric stratification of the moduli space and the Krull dimension of mapping class groups, Periodic surface automorphisms and algebraic independence of Morita-Mumford classes, Involutions on surfaces, Cyclic p-groups of symmetries of surfaces, On the rotation angles of a finite subgroup of a mapping class group, On the Farrell cohomology of mapping class groups, Classifying finite group actions on surfaces of low genus, An application of homotopy theory to mapping class groups, Riemann-Hurwitz formula for Morita-Mumford classes and surface symmetries

Cites Work

• Stability of the homology of the mapping class groups of orientable surfaces
• The virtual cohomological dimension of the mapping class group of an orientable surface
• Characteristic classes for the classifying spaces of Hodge structures
• Rational representations of finite groups and their Euler class
• Two Theorems on the Mapping Class Group of a Surface
• CYCLIC GROUPS OF AUTOMORPHISMS OF A COMPACT RIEMANN SURFACE
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