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Open Gromov–Witten invariants and mirror maps for semi-Fano toric manifolds

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Open Gromov–Witten invariants and mirror maps for semi-Fano toric manifolds Chan, Kwokwai; Lau, Siu-Cheong; Leung, Naichung Conan; Tseng, Hsian-Hua We prove that for a compact toric manifold whose anticanonical divisor is numerically effective, the Lagrangian Floer superpotential defined by Fukaya–Oh–Ohto–Ono [15] is equal to the superpotential written down by using the toric mirror map under a convergence assumption. This gives a method to compute open Gromov–Witten invariants using mirror symmetry.

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