A stability conjecture for the unstable cohomology of SL_n Z, mapping class groups, and Aut(F_n)

Abstract

In this paper we conjecture the stability and vanishing of a large piece of the unstable rational cohomology of SL_n Z, of mapping class groups, and of Aut(F_n).

18 pages. v2: final version, to appear in Algebraic Topology: Applications and New Directions, AMS Contemporary Mathematics Series

References in corpus (2)

• Computations in formal symplectic geometry and characteristic classes of moduli spaces
• Morita classes in the homology of Aut(F_n) vanish after one stabilization

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