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

Abstract

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.