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Moduli Space in Homological Mirror Symmetry

Matsuo Sato

Advances in Mathematical Physics, 2019, vol. 2019, issue 1

Abstract: 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.

Date: 2019
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https://doi.org/10.1155/2019/1693102

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