Getzler-Kapranov graph complex cohomology computations in weight 13

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1. Verfasser: Belli, Marco
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Veröffentlicht: 2025
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author Belli, Marco
author_facet Belli, Marco
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2507_08995
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Getzler-Kapranov graph complex cohomology computations in weight 13
Belli, Marco
Algebraic Geometry
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.
title Getzler-Kapranov graph complex cohomology computations in weight 13
topic Algebraic Geometry
url https://arxiv.org/abs/2507.08995