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.
A Quantized Riemann–Hilbert Problem in Donaldson–Thomas Theory / Barbieri, Anna; Bridgeland, Tom; Stoppa, Jacopo. - In: INTERNATIONAL MATHEMATICS RESEARCH NOTICES. - ISSN 1687-0247. - 2022:5(2022), pp. 3417-3456. [10.1093/imrn/rnaa294]
A Quantized Riemann–Hilbert Problem in Donaldson–Thomas Theory
Stoppa, Jacopo
2022-01-01
Abstract
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.File in questo prodotto:
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