Weight 11 compactly supported cohomology of moduli spaces of curves

arXiv2302.04204MaRDI QIDQ6425864

Sam Payne, Thomas Willwacher

Publication date: 8 February 2023

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.

Has companion code repository: https://github.com/wilthoma/weight11mgn

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