A quantized Riemann-Hilbert problem in Donaldson-Thomas theory
- Resource Type
- Working Paper
- Authors
- Barbieri, Anna; Bridgeland, Tom; Stoppa, Jacopo
- Source
- Subject
- Mathematics - Algebraic Geometry
High Energy Physics - Theory
Mathematics - Quantum Algebra
- Language
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.
Comment: 32 pages. Version 2: corrected sign error. To appear in IMRN