Stable cohomology of the mapping class group with symplectic coefficients and of the universal Abel-Jacobi map

Abstract

This replacement corrects statement and proof of the main result. Also, a section on the universal Abel-Jacobi map has been added.

13 pages in AMS-TeX v2.1

Cited by in corpus (28)

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• Homological stability for configuration spaces of manifolds
• Topology of moduli spaces of tropical curves with marked points
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• Cohomology of moduli spaces
• Mapping Class Groups and Moduli Spaces of Curves
• The Chern character of the Verlinde bundle over the moduli space of stable curves
• Representation stability, secondary stability, and polynomial functors
• Abelian covers of surfaces and the homology of the level L mapping class group
• Graph complexes and the symplectic character of the Torelli group
• The space of immersed surfaces in a manifold
• Tautological classes with twisted coefficients
• On the tautological ring of $M_{g,n}$
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• The Second Cohomology with Symplectic Coefficients of the Moduli Space of Smooth Projective Curves
• The fourth tautological group of $\overline{{\mathcal{M}}_{g,n}}$ and relations with the cohomology
• An orbifold partition of ${\overline{M}}_g^n$
• Relative pro-$\ell$ completions of Teichmüller groups
• Cohomology of braids, principal congruence subgroups and geometric representations
• Mapping class groups and function spaces: a survey
• On the BV structure on the cohomology of moduli space
• Stable twisted cohomology of the mapping class groups in the exterior powers of the unit tangent bundle homology
• Refinements of Katz-Sarnak theory for the number of points on curves over finite fields
• Stable twisted cohomology of the mapping class groups in the unit tangent bundle homology
• Rationality and Chow-Kuenneth decompositions for some moduli stacks of curves
• The unstable integral homology of the mapping class groups of a surface with boundary
• Characteristic classes of foliated surface bundles with area-preserving holonomy