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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2302.04204 |
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| _version_ | 1866913634745057280 |
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| author | Payne, Sam Willwacher, Thomas |
| author_facet | Payne, Sam Willwacher, Thomas |
| contents | We study the weight 11 part of the compactly supported cohomology of the moduli space of curves $M_{g,n}$, using graph complex techniques, with particular attention to the case $n = 0$. As applications, we prove new nonvanishing results for the cohomology of $M_g$, and exponential growth with $g$, in a wide range of degrees. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2302_04204 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Weight 11 compactly supported cohomology of moduli spaces of curves Payne, Sam Willwacher, Thomas Algebraic Geometry We study the weight 11 part of the compactly supported cohomology of the moduli space of curves $M_{g,n}$, using graph complex techniques, with particular attention to the case $n = 0$. As applications, we prove new nonvanishing results for the cohomology of $M_g$, and exponential growth with $g$, in a wide range of degrees. |
| title | Weight 11 compactly supported cohomology of moduli spaces of curves |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2302.04204 |