Barbieri, A., Bridgeland, T. and Stoppa, J. (Submitted: 2019) A quantized Riemann-Hilbert problem in Donaldson-Thomas theory. arXiv. (Submitted)
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.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © 2019 The Author(s). For reuse permissions, please contact the Author(s). |
Keywords: | math.AG; math.AG; hep-th; math.QA |
Dates: |
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Institution: | The University of Sheffield |
Academic Units: | The University of Sheffield > Faculty of Science (Sheffield) > School of Mathematics and Statistics (Sheffield) |
Funding Information: | Funder Grant number European Commission - Horizon 2020 670298 The Royal Society WM150049 |
Depositing User: | Symplectic Sheffield |
Date Deposited: | 15 Oct 2019 08:24 |
Last Modified: | 17 Oct 2019 05:37 |
Published Version: | https://arxiv.org/abs/1905.00748v1 |
Status: | Submitted |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:152144 |