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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

Tom Bridgeland , Iván Tulli This is my paper
classification hep-thmath.AG
keywords calabi-yauclassesellipticproblemsriemann-hilbertassociatedboreldonaldson-thomas
verification ladder T0 review T1 audit T2 compute T3 formal
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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 7 Pith papers

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

  1. The non-perturbative topological string: from resurgence to wall-crossing of DT invariants

    hep-th 2026-04 unverdicted novelty 8.0 of 10

    An isomorphism is shown between the algebra of alien derivatives acting on the topological string partition function and the Kontsevich-Soibelman Lie algebra, linking resurgence to DT wall-crossing with numerical matc...

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    hep-th 2026-04 unverdicted novelty 7.0 of 10

    Links resurgence of the topological string partition function to DT wall-crossing via an isomorphism of alien derivative algebras to the Kontsevich-Soibelman Lie algebra, with Borel singularities matched to specific D...

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  4. Universal Correlators on Exponentially Ramified Spectral Curves

    math-ph 2026-07 conditional novelty 6.0 of 10

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    Stokes constants of topological string non-perturbative contributions are invariant on monodromy orbits, reproduce the BPS spectrum, and satisfy the Kontsevich-Soibelman Lie algebra.

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    Coxeter symmetries from isomorphic flops in Kähler-favorable CICYs make the 4D N=2 prepotential solve the Helmholtz equation on the moduli space, enabling resummed expressions from worldsheet instantons.

  7. Les Houches Lectures on Exact WKB Analysis and Painlev\'e Equations

    math-ph 2025-12 unverdicted novelty 3.0 of 10

    Lecture notes review exact WKB analysis for ODEs and its combination with topological recursion and isomonodromy to compute monodromy and resurgent structures for Painlevé equations.

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