A low-valence ribbon graph complex computing the cohomology of $M_{g,m}$
Fuente:
arXiv
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866909034956718080 |
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| author | Merkulov, Sergei A. |
| author_facet | Merkulov, Sergei A. |
| contents | It is proven that every cohomology class of the moduli space $M_{g,m}$ for any $2g+m\geq 3$, $m\geq 1$ can be represented combinatorially by a ribbon quiver with at most four-valent vertices. The "at most four"-valency condition is sharp. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_04950 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | A low-valence ribbon graph complex computing the cohomology of $M_{g,m}$ Merkulov, Sergei A. Algebraic Geometry It is proven that every cohomology class of the moduli space $M_{g,m}$ for any $2g+m\geq 3$, $m\geq 1$ can be represented combinatorially by a ribbon quiver with at most four-valent vertices. The "at most four"-valency condition is sharp. |
| title | A low-valence ribbon graph complex computing the cohomology of $M_{g,m}$ |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2605.04950 |