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

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.