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arXiv · 2507.08995

Getzler-Kapranov graph complex cohomology computations in weight 13

Marco Belli
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Abstract

We study the weight-graded compactly supported cohomology of the moduli spaces of curves $\mathcal{M}_{g,n}$ using the Getzler-Kapranov graph complex. After recollecting the theory and some previous results, we compute the cohomology in weight 13 for the (g, n) pairs with 3g + 2n = 28.

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Marco Belli. 2025-07-11. Getzler-Kapranov graph complex cohomology computations in weight 13. https://arxiv.org/abs/2507.08995

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