The third homology group of the moduli space of curves

DOI10.1215/S0012-7094-91-06302-7zbMath0725.57005OpenAlexW2088278249MaRDI QIDQ2276807

John L. Harer

Publication date: 1991

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/s0012-7094-91-06302-7

zbMATH Keywords

Riemann surfacesTeichmüller spacemoduli spacemapping class grouprational homology

Mathematics Subject Classification ID

General low-dimensional topology (57M99) Curves in algebraic geometry (14H99)

Related Items

Stable homology of surface diffeomorphism groups made discrete, The Meyer function on the handlebody group, Some computations of stable twisted homology for mapping class groups, The first homology group of the mapping class group of a nonorientable surface with twisted coefficients, Improved homological stability for the mapping class group with integral or twisted coefficients, The codimension-two homology of the moduli space of stable curves is algebraic, Periodic surface automorphisms and algebraic independence of Morita-Mumford classes, Riemann-Hurwitz formula for Morita-Mumford classes and surface symmetries, Periodicity of the punctured mapping class group, \(E_2\)-cells and mapping class groups, Calculating cohomology groups of moduli spaces of curves via algebraic geometry

Cites Work

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• On quadratic differentials with closed trajectories and second order poles
• Abelian quotients of the Teichmüller modular group
• Arithmetic variety of moduli for genus two
• Complexes of curves and the Teichmüller modular group
• Braids, Links, and Mapping Class Groups. (AM-82)