A quantized Riemann-Hilbert problem in Donaldson-Thomas theory
Algebraic Geometry
2025-07-17 v3 High Energy Physics - Theory
Quantum Algebra
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.
Cite
@article{arxiv.1905.00748,
title = {A quantized Riemann-Hilbert problem in Donaldson-Thomas theory},
author = {Anna Barbieri and Tom Bridgeland and Jacopo Stoppa},
journal= {arXiv preprint arXiv:1905.00748},
year = {2025}
}
Comments
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