<p>Let <i>X</i> be a Calabi–Yau threefold with an elliptic fibration. We investigate the non-linear Riemann–Hilbert problems associated to the Donaldson–Thomas theory of fibre classes, and relate them to the Borel sum of the <i>A</i>-model topological string free energy for such classes.</p>

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Resurgence and Riemann–Hilbert Problems for Elliptic Calabi–Yau Threefolds

  • Tom Bridgeland,
  • Iván Tulli

摘要

Let X be a Calabi–Yau threefold with an elliptic fibration. We investigate the non-linear Riemann–Hilbert problems associated to the Donaldson–Thomas theory of fibre classes, and relate them to the Borel sum of the A-model topological string free energy for such classes.