Getzler-Kapranov graph complex cohomology computations in weight 13
Algebraic Geometry
2025-07-15 v1
Abstract
We study the weight-graded compactly supported cohomology of the moduli spaces of curves 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.
Keywords
Cite
@article{arxiv.2507.08995,
title = {Getzler-Kapranov graph complex cohomology computations in weight 13},
author = {Marco Belli},
journal= {arXiv preprint arXiv:2507.08995},
year = {2025}
}
Comments
29 pages, 9 figures