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Mathematics > Symplectic Geometry

arXiv:1812.08845 (math)
[Submitted on 20 Dec 2018 (v1), last revised 27 Feb 2019 (this version, v2)]

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

Authors:Hansol Hong, Yu-Shen Lin, Jingyu Zhao
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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.
Comments: 44 pages, 9 figures, comments are welcome
Subjects: Symplectic Geometry (math.SG)
MSC classes: 53D40, 53D37, 14T05
Cite as: arXiv:1812.08845 [math.SG]
  (or arXiv:1812.08845v2 [math.SG] for this version)
  https://doi.org/10.48550/arXiv.1812.08845

Submission history

From: Hansol Hong [view email]
[v1] Thu, 20 Dec 2018 21:15:28 UTC (217 KB)
[v2] Wed, 27 Feb 2019 03:54:36 UTC (218 KB)
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