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A Quantized Riemann–Hilbert Problem in Donaldson–Thomas Theory
2020
International mathematics research notices
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.
doi:10.1093/imrn/rnaa294
fatcat:lmmyoehmyfbdziyibrb7w7jwie