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.

36 pages, 1 figure

References in corpus (2)

• Mathematical structures of non-perturbative topological string theory: from GW to DT invariants
• Exact multi-instantons in topological string theory