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Riemann-Hilbert problems from Donaldson-Thomas theory

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arxiv 1611.03697 v5 pith:BXVIAGTM submitted 2016-11-11 math.AG hep-th

classification math.AGhep-th
keywords problemstheorydonaldson-thomasriemann-hilbertanalysisarisingbrieflycases
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We study a class of Riemann-Hilbert problems arising naturally in Donaldson-Thomas theory. In certain special cases we show that these problems have unique solutions which can be written explicitly as products of gamma functions. We briefly explain connections with Gromov-Witten theory and exact WKB analysis.

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  1. Exact WKB of solutions by Borel summation and open TBA

    hep-th 2025-07 conditional novelty 7.0 of 10

    Borel-summed WKB solutions of quantum Seiberg-Witten equations are matched, numerically, to GMN open TBA solutions for the Weber and modified Mathieu equations.

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