A quantized Riemann-Hilbert problem in Donaldson-Thomas theory
arXiv:1905.00748
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.
Version 3 corrects an error pointed out by Sergey Alexandrov. The changes are to formula (3) in the Introduction, and to several formulae in Sections 5.2 and 5.3