Open Gromov–Witten invariants and mirror maps for semi-Fano toric manifolds
Leung, Naichung Conan
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Citation (published version)Kwokwai Chan, Siu-Cheong Lau, Naichung Conan Leung, Hsian-Hua Tseng. 2020. "Open Gromov–Witten invariants and mirror maps for semi-Fano toric manifolds." Pure and Applied Mathematics Quarterly, Volume 16, Issue 3, pp. 675 - 720. https://doi.org/10.4310/pamq.2020.v16.n3.a11
We prove that for a compact toric manifold whose anticanonical divisor is numerically effective, the Lagrangian Floer superpotential defined by Fukaya–Oh–Ohto–Ono  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.