Bridgeland, T. (2020) Riemann–Hilbert problems for the resolved conifold and non-perturbative partition functions. Journal of Differential Geometry, 115 (3). pp. 395-435. ISSN 0022-040X
Abstract
We study the Riemann-Hilbert problems of [6] (T. Bridgeland, “Riemann-Hilbert problems from Donaldson–Thomas theory”, arxiv:1611.03697) in the case of the Donaldson–Thomas theory of the resolved conifold. We give explicit solutions in terms of the Barnes double and triple sine functions. We show that the τ-function of [6] is a non-perturbative partition function, in the sense that its asymptotic expansion coincides with the topological closed string partition function.
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Copyright, Publisher and Additional Information: | © 2020 Lehigh University. This is an author-produced version of a paper subsequently published in Journal of Differential Geometry. Uploaded in accordance with the publisher's self-archiving policy. | ||||||
Keywords: | math.AG; math.AG; hep-th | ||||||
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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) | ||||||
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Depositing User: | Symplectic Sheffield | ||||||
Date Deposited: | 12 Apr 2017 13:09 | ||||||
Last Modified: | 12 Jan 2024 17:28 | ||||||
Status: | Published | ||||||
Publisher: | International Press | ||||||
Refereed: | Yes | ||||||
Identification Number: | https://doi.org/10.4310/jdg/1594260015 | ||||||
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