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arXiv · 1905.00748

A quantized Riemann-Hilbert problem in Donaldson-Thomas theory

Anna Barbieri·Tom Bridgeland·Jacopo Stoppa
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Abstract

We introduce Riemann-Hilbert problems determined by refined Donaldson-Thomas theory. They involve piecewise holomorphic maps from the complex plane to the group of automorphisms of a quantum torus algebra. We study the simplest case in detail and use the Barnes double gamma function to construct a solution.

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Anna Barbieri, Tom Bridgeland, Jacopo Stoppa. 2019-05-02. A quantized Riemann-Hilbert problem in Donaldson-Thomas theory. https://arxiv.org/abs/1905.00748

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