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A quantized Riemann-Hilbert problem in Donaldson-Thomas theory (1905.00748v2)
Published 2 May 2019 in math.AG, hep-th, and math.QA
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.