Cut-and-join operators for higher Weil-Petersson volumes
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arXiv
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| Format: | Preprint |
| Publié: |
2021
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| _version_ | 1866916618389422080 |
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| author | Alexandrov, Alexander |
| author_facet | Alexandrov, Alexander |
| contents | In this paper, we construct the cut-and-join operator description for the generating functions of all intersection numbers of $ψ$, $κ$, and $Θ$ classes on the moduli spaces $\overline{\mathcal M}_{g,n}$. The cut-and-join operators define an algebraic version of topological recursion. This recursion allows us to compute all these intersection numbers recursively. For the specific values of parameters, the generating functions describe the volumes of moduli spaces of (super) hyperbolic Riemann surfaces with geodesic boundaries, which are also related to the Jackiw-Teitelboim (JT) (super)gravity. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2109_06582 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Cut-and-join operators for higher Weil-Petersson volumes Alexandrov, Alexander Algebraic Geometry High Energy Physics - Theory Mathematical Physics Exactly Solvable and Integrable Systems 37K10, 14N35, 81R10, 05A15 In this paper, we construct the cut-and-join operator description for the generating functions of all intersection numbers of $ψ$, $κ$, and $Θ$ classes on the moduli spaces $\overline{\mathcal M}_{g,n}$. The cut-and-join operators define an algebraic version of topological recursion. This recursion allows us to compute all these intersection numbers recursively. For the specific values of parameters, the generating functions describe the volumes of moduli spaces of (super) hyperbolic Riemann surfaces with geodesic boundaries, which are also related to the Jackiw-Teitelboim (JT) (super)gravity. |
| title | Cut-and-join operators for higher Weil-Petersson volumes |
| topic | Algebraic Geometry High Energy Physics - Theory Mathematical Physics Exactly Solvable and Integrable Systems 37K10, 14N35, 81R10, 05A15 |
| url | https://arxiv.org/abs/2109.06582 |