Getzler-Kapranov graph complex cohomology computations in weight 13

Q: What type of study is this?

This is a Quantitative Study study.

M. Belli

doi:10.48550/arxiv.2507.08995

July 11, 2025Open Access

Getzler-Kapranov graph complex cohomology computations in weight 13

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Key Points

Cohomology in weight 13 for specific (g, n) pairs was computed, revealing new connections in algebraic geometry.
The study focused on pairs where 3g + 2n = 28, providing clarity in the structure of moduli spaces.
Utilizing the getzler-kapranov graph complex, prior results were recollected to support new findings in cohomological computations.
This research enhances our understanding of weight-graded cohomology in the context of algebraic geometry.

Implication

Analysis computes cohomology in weight 13 for moduli spaces of curves, suggesting new insights in algebraic geometry.

Abstract

We study the weight-graded compactly supported cohomology of the moduli spaces of curves Mg,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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Cite This Study

M. Belli (2025) studied this question.

synapsesocial.com/papers/68de5d9c83cbc991d0a202a8 https://doi.org/10.48550/arxiv.2507.08995

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Getzler-Kapranov graph complex cohomology computations in weight 13

Key Points

Implication

Abstract

Discussion

Cite This Study

Getzler-Kapranov graph complex cohomology computations in weight 13

Key Points

Implication

Abstract

Discussion

Cite This Study

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