We provide an inductive algorithm to compute the bulk-deformed potentials for toric Fano surfaces via wall-crossing techniques and a tropical–holomorphic correspondence theorem for holomorphic discs. As an application of the correspondence theorem, we also prove a big quantum period theorem for toric Fano surfaces, which relates the log descendant Gromov–Witten invariants with the oscillatory integrals of the bulk-deformed potentials.

中文翻译：

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复曲面法诺表面，穿墙和周期的体形变形电势

我们提供了一种归纳算法，可以通过穿墙技术和全纯圆盘的热带-全纯对应定理来计算复曲面Fano表面的整体变形电势。作为对应定理的一个应用，我们还证明了复曲面Fano曲面的一个大的量子周期定理，该定理将对数后裔Gromov-Witten不变量与整体变形电势的振荡积分相关。