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arXiv · 1112.0388

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

Kwokwai Chan·Siu-Cheong Lau·Naichung Conan Leung·Hsian-Hua Tseng
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Abstract

We prove that for a compact toric manifold whose anti-canonical 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.

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Kwokwai Chan, Siu-Cheong Lau, Naichung Conan Leung, Hsian-Hua Tseng. 2011-12-02. Open Gromov-Witten invariants and mirror maps for semi-Fano toric manifolds. https://doi.org/10.4310/pamq.2020.v16.n3.a11

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