A Quantized Riemann–Hilbert Problem in Donaldson–Thomas Theory

Anna Barbieri, Tom Bridgeland, Jacopo Stoppa
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