Weight 11 compactly supported cohomology of moduli spaces of curves
Abstract
We study the weight 11 part of the compactly supported cohomology of the moduli space of curves Mg,n, using graph complex techniques, with particular attention to the case n = 0. As applications, we prove new nonvanishing results for the cohomology of Mg, and exponential growth with g, in a wide range of degrees.
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