We introduce Riemann-Hilbert problems determined by the 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.
A Quantized Riemann-Hilbert Problem in Donaldson-Thomas Theory
Anna Barbieri;
2022-01-01
Abstract
We introduce Riemann-Hilbert problems determined by the 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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