On A Tautological Relation Conjectured By Buryak-Shadrin
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arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866916202185490432 |
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| author | Liu, Xiaobo Wang, Chongyu |
| author_facet | Liu, Xiaobo Wang, Chongyu |
| contents | Buryak and Shadrin conjectured a tautological relation on moduli spaces of curves $\overline{\mathcal{M}}_{g,n}$ which has the form $B^m_{g, \textbf{d}}=0$ for certain tautological classes $B^m_{g, \textbf{d}}$ where $m \geq 2, n \geq 1$ and $|\textbf{d}| \geq 2g+m-1$. In this paper we prove that this conjecture holds if it is true for the $m=2$ and $|\textbf{d}| = 2g+1$ case. This result reduces the proof of this conjecture to checking finitely many cases for each genus $g$. We will also prove this conjecture for the $g=1$ case. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_14504 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On A Tautological Relation Conjectured By Buryak-Shadrin Liu, Xiaobo Wang, Chongyu Algebraic Geometry Mathematical Physics Buryak and Shadrin conjectured a tautological relation on moduli spaces of curves $\overline{\mathcal{M}}_{g,n}$ which has the form $B^m_{g, \textbf{d}}=0$ for certain tautological classes $B^m_{g, \textbf{d}}$ where $m \geq 2, n \geq 1$ and $|\textbf{d}| \geq 2g+m-1$. In this paper we prove that this conjecture holds if it is true for the $m=2$ and $|\textbf{d}| = 2g+1$ case. This result reduces the proof of this conjecture to checking finitely many cases for each genus $g$. We will also prove this conjecture for the $g=1$ case. |
| title | On A Tautological Relation Conjectured By Buryak-Shadrin |
| topic | Algebraic Geometry Mathematical Physics |
| url | https://arxiv.org/abs/2402.14504 |