Bulk-deformed potentials for toric Fano surfaces, wall-crossing and period
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Citation (published version)Yu-Shen Lin, Hansol Hong, Jingyu Zhao. "Bulk-deformed potentials for toric Fano surfaces, wall-crossing and period." 45 pages. https://arxiv.org/abs/1812.08845
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.