Mapping Class Groups and Moduli Spaces of Curves

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.

We expanded section 7 and rewrote parts of section 10. We also did some editing and made some minor corrections. latex2e, 46 pages

References in corpus (5)

• On the tautological ring of $\M _g$
• Stable cohomology of the mapping class group with symplectic coefficients and of the universal Abel-Jacobi map
• Torelli Groups and Geometry of Moduli Spaces of Curves
• Completions of mapping class groups and the cycle $C-C^{-}$
• The Hodge de Rham theory of relative Malcev completion

Cited by in corpus (7)

• Logarithmic series and Hodge integrals in the tautological ring (with an appendix by D. Zagier)
• Symplectic Lefschetz fibrations with arbitrary fundamental groups
• Intersection theory on $\Mbar_{1,4}$ and elliptic Gromov-Witten invariants
• Tautological classes with twisted coefficients
• On the tautological ring of ${\bar{M}}_{g,n}$
• The mixed Hodge structure on the fundamental group of hyperelliptic curves and higher cycles
• Relative pro-$\ell$ completions of Teichmüller groups