Faber's socle intersection numbers via Gromov--Witten theory of elliptic curve
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arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866911506504876032 |
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| author | Blot, Xavier Shadrin, Sergey Singh, Ishan Jaztar |
| author_facet | Blot, Xavier Shadrin, Sergey Singh, Ishan Jaztar |
| contents | The goal of this very short note is to give a new proof of Faber's formula for the socle intersection numbers in the tautological ring of $\mathcal{M}_g$. This new proof exhibits a new beautiful tautological relation that stems from the recent work of Oberdieck--Pixton on the Gromov--Witten theory of the elliptic curve via a refinement of their argument, and some straightforward computation with the double ramification cycles that enters the recursion relations for the Hamiltonians of the KdV hierarchy. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_02297 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Faber's socle intersection numbers via Gromov--Witten theory of elliptic curve Blot, Xavier Shadrin, Sergey Singh, Ishan Jaztar Algebraic Geometry The goal of this very short note is to give a new proof of Faber's formula for the socle intersection numbers in the tautological ring of $\mathcal{M}_g$. This new proof exhibits a new beautiful tautological relation that stems from the recent work of Oberdieck--Pixton on the Gromov--Witten theory of the elliptic curve via a refinement of their argument, and some straightforward computation with the double ramification cycles that enters the recursion relations for the Hamiltonians of the KdV hierarchy. |
| title | Faber's socle intersection numbers via Gromov--Witten theory of elliptic curve |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2502.02297 |