Moduli Space in Homological Mirror Symmetry
We prove that the moduli space of the pseudo holomorphic curves in the A-model on a symplectic torus is homeomorphic to a moduli space of Feynman diagrams in the configuration space of the morphisms in the B-model on the corresponding elliptic curve. These moduli spaces determine the A∞ structure of...
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| Format: | Article |
| Language: | English |
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Wiley
2019-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2019/1693102 |
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| _version_ | 1850173940973961216 |
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| author | Matsuo Sato |
| author_facet | Matsuo Sato |
| author_sort | Matsuo Sato |
| collection | DOAJ |
| description | We prove that the moduli space of the pseudo holomorphic curves in the A-model on a symplectic torus is homeomorphic to a moduli space of Feynman diagrams in the configuration space of the morphisms in the B-model on the corresponding elliptic curve. These moduli spaces determine the A∞ structure of the both models. |
| format | Article |
| id | doaj-art-c8c1e9bd77904bc081cb2ce6a25c5ded |
| institution | OA Journals |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2019-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-c8c1e9bd77904bc081cb2ce6a25c5ded2025-08-20T02:19:44ZengWileyAdvances in Mathematical Physics1687-91201687-91392019-01-01201910.1155/2019/16931021693102Moduli Space in Homological Mirror SymmetryMatsuo Sato0Department of Natural Science, Faculty of Education, Hirosaki University, Bunkyo-cho 1, Hirosaki, Aomori 036-8560, JapanWe prove that the moduli space of the pseudo holomorphic curves in the A-model on a symplectic torus is homeomorphic to a moduli space of Feynman diagrams in the configuration space of the morphisms in the B-model on the corresponding elliptic curve. These moduli spaces determine the A∞ structure of the both models.http://dx.doi.org/10.1155/2019/1693102 |
| spellingShingle | Matsuo Sato Moduli Space in Homological Mirror Symmetry Advances in Mathematical Physics |
| title | Moduli Space in Homological Mirror Symmetry |
| title_full | Moduli Space in Homological Mirror Symmetry |
| title_fullStr | Moduli Space in Homological Mirror Symmetry |
| title_full_unstemmed | Moduli Space in Homological Mirror Symmetry |
| title_short | Moduli Space in Homological Mirror Symmetry |
| title_sort | moduli space in homological mirror symmetry |
| url | http://dx.doi.org/10.1155/2019/1693102 |
| work_keys_str_mv | AT matsuosato modulispaceinhomologicalmirrorsymmetry |