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Analyticity and resurgence in wall-crossing formulas

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 نشر من قبل Yan Soibelman
 تاريخ النشر 2020
  مجال البحث
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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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