Gauss-Manin connection in disguise: Open Gromov-Witten invariants
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arXiv
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| Format: | Preprint |
| Published: |
2022
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| _version_ | 1866917052920365056 |
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| author | Espreafico, Felipe |
| author_facet | Espreafico, Felipe |
| contents | In mirror symmetry, after the work by J. Walcher, the number of holomorphic disks with boundary on the real quintic lagrangian in a general quintic threefold is related to the periods of the mirror quintic family with boundary on two homologous rational curves. Following the ideias of H.Movasati, we construct a quasi-affine space parametrizing such objects enhanced with a frame for the relative de Rham cohomology with boundary at the curves compatible with the mixed Hodge structure. We also compute a modular vector field attached to such a parametrization. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2205_08302 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Gauss-Manin connection in disguise: Open Gromov-Witten invariants Espreafico, Felipe Algebraic Geometry Mathematical Physics In mirror symmetry, after the work by J. Walcher, the number of holomorphic disks with boundary on the real quintic lagrangian in a general quintic threefold is related to the periods of the mirror quintic family with boundary on two homologous rational curves. Following the ideias of H.Movasati, we construct a quasi-affine space parametrizing such objects enhanced with a frame for the relative de Rham cohomology with boundary at the curves compatible with the mixed Hodge structure. We also compute a modular vector field attached to such a parametrization. |
| title | Gauss-Manin connection in disguise: Open Gromov-Witten invariants |
| topic | Algebraic Geometry Mathematical Physics |
| url | https://arxiv.org/abs/2205.08302 |