Analyticity and resurgence in wall-crossing formulas
arXiv:2005.10651
Abstract
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.
arXiv commentVersion 2 of the paper contains new Subsection 2.6 where the Support Property in families is discussed. New Section 5 is devoted to the interpretation of the analytic stability data in terms of analytic fiber bundles endowed with non-linear flat connections. Few typos have been corrected. Published in Letters in Math.Phys
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