Cohomological amplitude for constructible sheaves on moduli spaces of curves

Details Cohomological amplitude for constructible sheaves on moduli spaces of curves Cohomological amplitude for constructible sheaves on moduli spaces of curves

2012-03-20

arxiv.org/abs/1203.4548v1

Mathematics

Algebraic Geometry

16 p

Scientific paper

We give bounds for the cohomology of constructible sheaves on the moduli
stacks M_{g,n} over the complex field. We thus recover Harer's bound for the
virtual cohomological dimension of the associated mapping class groups.

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