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Author

Amy Bradford

2 papers indexed here

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Preprint Oct 2026

The fifteenth cohomology group of moduli spaces of stable curves

The new framework of semi-tautological extensions has allowed for explicit understanding of low-degree odd cohomology groups of moduli spaces of stable curves. Let $S^*_\omega(\overline{\mathcal M}_{g,n}) \subset H^*(\overline{\mathcal M}_{g,n})$ denote the semi-tautological extension generated by $H^{11}(\overline{\ma...

Amy Bradford, Aitor Iribar López, A. Kretschmer et al. · 0 citations
Preprint Oct 2026

Low-weight compactly supported cohomology of $\mathcal M_{g,n}^{ct}$ and the extended Torelli morphism

We study the weight zero and weight two graded pieces of the compactly supported cohomology of the moduli space $\mathcal M_{g,n}^{ct}$ of stable $n$-pointed curves of genus $g$ of compact type and show that they are computed by bridgeless graph complexes. In weight two, we construct a natural embedding of shifted weig...

Amy Bradford · 0 citations

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