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arXiv · 1708.09181

Moduli Space in Homological Mirror Symmetry

Matsuo Sato
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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 $A_{\infty}$ structure of the both models.

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Matsuo Sato. 2019-05-05. Moduli Space in Homological Mirror Symmetry. https://doi.org/10.1155/2019%2F1693102

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