A Quantized Riemann–Hilbert Problem in Donaldson–Thomas Theory-Reference-Cited by-同舟云学术

A Quantized Riemann–Hilbert Problem in Donaldson–Thomas Theory

Published:2020-12-09 Issue: Volume: Page:
ISSN:1073-7928
Container-title:International Mathematics Research Notices
language:en
Short-container-title:

Author:

Barbieri Anna¹,Bridgeland Tom¹,Stoppa Jacopo²

Affiliation:

1. University of Sheffield, Hicks Building, Hounsfield Road, S3 7RH Sheffield, UK

2. Scuola Internazionale Superiore di Studi Avanzati, via Bonomea 265, and Institute for Geometry and Physics, Strada Costiera 11, 34151 Trieste, Italy

Abstract

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.

Funder

European Research Council

Publisher

Oxford University Press (OUP)

Subject

General Mathematics

Link

http://academic.oup.com/imrn/advance-article-pdf/doi/10.1093/imrn/rnaa294/34806963/rnaa294.pdf

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