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arXiv · 1703.02776

Riemann-Hilbert problems for the resolved conifold

Tom Bridgeland
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Abstract

We study the Riemann-Hilbert problems associated to the Donaldson-Thomas theory of the resolved conifold. We give explicit solutions in terms of the Barnes double and triple sine functions. We show that the corresponding tau function is a non-perturbative partition function, in the sense that its asymptotic expansion coincides with the topological string partition function.

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Tom Bridgeland. 2017-03-08. Riemann-Hilbert problems for the resolved conifold. https://arxiv.org/abs/1703.02776

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