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 $M_{g,n}$, using graph complex techniques, with particular attention to the case $n=0$. As applications, we prove new nonvanishing results for the cohomology of $M_g$, and exponential growth with $g$, in a wide range of degrees.

arXiv commentv2: 36 pages, minor revisions. Final version, to appear in Int. Math. Res. Not

References in corpus (7)

• Operads and Motives in Deformation Quantization
• Tropical curves, graph complexes, and top weight cohomology of M_g
• Oriented hairy graphs and moduli spaces of curves
• The $S_n$-equivariant top weight Euler characteristic of $M_{g,n}$
• Commutative hairy graphs and representations of $Out(F_r)$
• Cohomology of moduli spaces via a result of Chenevier and Lannes
• The eleventh cohomology group of ${\bar{\mathcal{M}}}_{g,n}$

Cited by in corpus (2)

• Extensions of tautological rings and motivic structures in the cohomology of ${\overline{\mathcal{M}}}_{g,n}$
• Weight 2 cohomology of graph complexes of cyclic operads and the handlebody group