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The stable cohomology of automorphisms of free groups with coefficients in the homology representation
Automorphisms of free groups homology stability
2011/1/19
We study the cohomology of Aut(F n) and Out(F n) with coeffi-cients in the modules ^qH, ^H, SymqH or SymqH, where H is the Out(F n)-module obtained by abelianising the free group F
n.
Stable cohomology of the universal Picard varieties and the extended mapping class group
moduli spaces Picard variety stable cohomology
2011/1/18
We compute the stable cohomology of the universal Picard stack Pic g ! M g, and also its Picard group. The degree zero Picard stack Pic0 g has homotopy type the classifying space of Kawazumi’s extende...