A quantized Riemann-Hilbert problem in Donaldson-Thomas theory

Autor:	Barbieri, Anna, Bridgeland, Tom, Stoppa, Jacopo
Rok vydání:	2019
Předmět:	Mathematics - Algebraic Geometry High Energy Physics - Theory Mathematics - Quantum Algebra
Druh dokumentu:	Working Paper
Popis:	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
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1905.00748 Zobrazit plný text záznamu View this record from Arxiv