WDVV-based recursion for open Gromov-Witten invariants
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866909987988570112 |
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| author | Blumberg, Roi Tukachinsky, Sara B. |
| author_facet | Blumberg, Roi Tukachinsky, Sara B. |
| contents | We give a computability result for open Gromov-Witten invariants based on open WDVV equations. This is analogous to the result of Kontsevich-Manin for closed Gromov-Witten invariants. For greater generality, we base the argument on a formal object, the Frobenius superpotential, that generalizes several different definitions of open Gromov-Witten invariants. As an application, we prove vanishing properties for open Gromov-Witten invariants on products of projective spaces. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2402_10542 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | WDVV-based recursion for open Gromov-Witten invariants Blumberg, Roi Tukachinsky, Sara B. Symplectic Geometry High Energy Physics - Theory Algebraic Geometry 53D45, 14N35 (Primary) 14N10 (Secondary) We give a computability result for open Gromov-Witten invariants based on open WDVV equations. This is analogous to the result of Kontsevich-Manin for closed Gromov-Witten invariants. For greater generality, we base the argument on a formal object, the Frobenius superpotential, that generalizes several different definitions of open Gromov-Witten invariants. As an application, we prove vanishing properties for open Gromov-Witten invariants on products of projective spaces. |
| title | WDVV-based recursion for open Gromov-Witten invariants |
| topic | Symplectic Geometry High Energy Physics - Theory Algebraic Geometry 53D45, 14N35 (Primary) 14N10 (Secondary) |
| url | https://arxiv.org/abs/2402.10542 |