Mapping Class Groups and Moduli Spaces of Curves

1996/07/04 by Richard Hain, Hain, Richard, Eduard Looijenga +1 · 2 citations
Mathematics · #14-02 #14H10 #32G15 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.alg-geom/9607004

openalex publication_date 1996/07/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This is a survey paper that also contains some new results. It will appear in the proceedings of the AMS summer research institute on Algebraic Geometry at Santa Cruz.

Citations

• Torelli Groups and Geometry of Moduli Spaces of Curves

Cited by

• Symplectic Lefschetz fibrations with arbitrary fundamental groups
• The mixed Hodge structure on the fundamental group of hyperelliptic curves and higher cycles

Related

• Some problems on mapping class groups and moduli space
• The kappa classes on the moduli spaces of curves
• Probing mapping class groups using arcs
• A calculus for the moduli space of curves
• The moduli space of curves and its invariants