On the Farrell cohomology of mapping class groups

DOI10.1007/BF01232038zbMath0766.57001MaRDI QIDQ1803382

Henry H. Glover, Guido Mislin, Yining Xia

Publication date: 29 June 1993

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/144032

zbMATH Keywords

mapping class groupFarrell cohomologyclosed oriented surface\(p\)-period\(p\)- periodic

Mathematics Subject Classification ID

Classifying spaces of groups and (H)-spaces in algebraic topology (55R35) Homological methods in group theory (20J05) Fundamental group, presentations, free differential calculus (57M05) Fundamental groups and their automorphisms (group-theoretic aspects) (20F34)

Related Items

On the cohomology of the hyperelliptic mapping class group ⋮ The Yagita invariant of some symplectic groups. ⋮ Periodic surface automorphisms and algebraic independence of Morita-Mumford classes ⋮ On the Farrell cohomology of the mapping class group of non-orientable surfaces ⋮ Periodicity of the punctured mapping class group ⋮ Yagita invariant of mapping class groups at the prime \(2\)

Cites Work

• Finite groups acting on surfaces and the genus of a group
• Stability of the homology of the mapping class groups of orientable surfaces
• Torsion in the mapping class group and its cohomology
• On Mapping-Class Groups and Teichmüller Spaces
• The Nielsen realization problem