Moduli Space in Homological Mirror Symmetry

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.

21 pages, 8 figures

References in corpus (1)

• Doran-Harder-Thompson Conjecture via SYZ Mirror Symmetry: Elliptic Curves

Cited by in corpus (1)

• String Geometry and Non-perturbative Formulation of String Theory