Moduli Space in Homological Mirror Symmetry
classification
✦ hep-th
math.AGmath.ATmath.DGmath.SG
keywords
modulispacea-modelb-modelconfigurationcorrespondingcurvecurves
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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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