Bulk-deformed potentials for toric Fano surfaces, wall-crossing and period

2018/12/20 by Hong, Hansol, Lin, Yu-Shen, Zhao, Jingyu
#14T05 #53D37 #53D40 #FOS: Mathematics #Symplectic Geometry (math.SG)

paper · doi:10.48550/arxiv.1812.08845

Abstract

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.

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