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Resurgence and Riemann-Hilbert problems for elliptic Calabi-Yau threefolds

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arxiv 2407.06974 v1 pith:2UIUBRMH submitted 2024-07-09 hep-th math.AG

classification hep-thmath.AG
keywords calabi-yauclassesellipticproblemsriemann-hilbertassociatedboreldonaldson-thomas
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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.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Revisiting the Quantum Geometry of Torus-fibered Calabi-Yau Threefolds

    hep-th 2025-10 conditional novelty 7.0 of 10

    The conjectured Jacobi modularity of topological string amplitudes on torus-fibered Calabi-Yau threefolds is derived conditionally from the wave-function property under the relative conifold monodromy, which also maps...

  2. Universal Correlators on Exponentially Ramified Spectral Curves

    math-ph 2026-07 conditional novelty 6.0 of 10

    Generalized topological recursion extends to spectral curves with essential singularities by replacing residues at the essential point with residues at ordinary meromorphic points.

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