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Open Gromov–Witten invariants and mirror maps for semi-Fano toric manifolds
Pure and Applied Mathematics Quarterly ( IF 0.7 ) Pub Date : 2020-01-01 , DOI: 10.4310/pamq.2020.v16.n3.a11
Kwokwai Chan 1 , Siu-Cheong Lau 2 , Naichung Conan Leung 3 , Hsian-Hua Tseng 4
Affiliation  

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.

中文翻译:

半法诺复曲面流形的开放 Gromov–Witten 不变量和镜像映射

我们证明,对于反正则除数在数值上有效的紧凑复曲面流形,由 Fukaya-Oh-Ohto-Ono 定义的拉格朗日 Floer 超势等于在收敛假设下使用复曲面镜映射写出的超势。这给出了一种使用镜像对称计算开放 Gromov-Witten 不变量的方法。
更新日期:2020-01-01
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