Resurgent Structure of the Topological String and the First Painlevé Equation

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2024
• Main Authors: Iwaki, Kohei, Mariño, Marcos
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2024
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/212167
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Resurgent Structure of the Topological String and the First Painlevé Equation. Kohei Iwaki and Marcos Mariño. SIGMA 20 (2024), 028, 21 pages

We present an explicit formula for the Stokes automorphism acting on the topological string partition function. When written in terms of the dual partition function, our formula implies that flat coordinates in topological string theory transform as quantum periods, according to the Delabaere-Dillin...