Analyticity and resurgence in wall-crossing formulas

  title={Analyticity and resurgence in wall-crossing formulas},
  author={Maxim Kontsevich and Yan S. Soibelman},
  journal={Letters in Mathematical Physics},
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. 
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