Corpus ID: 218763304

Analyticity and resurgence in wall-crossing formulas

@article{Kontsevich2020AnalyticityAR,
  title={Analyticity and resurgence in wall-crossing formulas},
  author={M. Kontsevich and Y. Soibelman},
  journal={arXiv: Algebraic Geometry},
  year={2020}
}

• M. Kontsevich, Y. Soibelman
• Published 2020
• Mathematics, Physics
• arXiv: Algebraic Geometry

We introduce the notion of analytic stability data on the Lie algebra of vector fields on a torus. We prove that the subspace of analytic stability data is open and closed in the topological space of all stability data. We formulate a general conjecture which explains how analytic stability data give rise to resurgent series. This conjecture is checked in several examples.