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.

arXiv comment36 pages, 1 figure

References in corpus (7)

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• Riemann-Hilbert problems from Donaldson-Thomas theory
• Holomorphic anomaly equations and the Igusa cusp form conjecture
• Complex hyperkähler structures defined by Donaldson-Thomas invariants
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• Mathematical structures of non-perturbative topological string theory: from GW to DT invariants
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