Quantum Curve and the First Painlevé Equation

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dc.contributor.authorIwaki, K.
dc.contributor.authorSaenz, A.
dc.date.accessioned2019-02-14T18:33:32Z
dc.date.available2019-02-14T18:33:32Z
dc.date.issued2016
dc.description.abstractWe show that the topological recursion for the (semi-classical) spectral curve of the first Painlevé equation PI gives a WKB solution for the isomonodromy problem for PI. In other words, the isomonodromy system is a quantum curve in the sense of [Dumitrescu O., Mulase M., Lett. Math. Phys. 104 (2014), 635-671, arXiv:1310.6022] and [Dumitrescu O., Mulase M., arXiv:1411.1023].uk_UA
dc.description.sponsorshipThe authors are grateful to Motohico Mulase for many valuable comments, discussion and continuous encouragements. They also thank Olivia Dumitrescu and Bertrand Eynard for helpful comments. K.I. work is supported by the JSPS for Advancing Strategic International Networks to Accelerate the Circulation of Talented Researchers “Mathematical Science of Symmetry, Topology and Moduli, Evolution of International Research Network based on Osaka City University Advanced Mathematical Institute (OCAMI)”. A.S. work is supported by UC Davis under the Graduate Research Mentorship fellowship. This article is written during the K.I. stay at The University of California, Davis. K.I. would also like to thank the institute for its support and hospitality.uk_UA
dc.identifier.citationQuantum Curve and the First Painlevé Equation / K. Iwaki, A. Saenz // Symmetry, Integrability and Geometry: Methods and Applications. — 2016. — Т. 12. — Бібліогр.: 36 назв. — англ.uk_UA
dc.identifier.issn1815-0659
dc.identifier.other2010 Mathematics Subject Classification: 34M55; 81T45; 34M60; 34M56
dc.identifier.otherDOI:10.3842/SIGMA.2016.011
dc.identifier.urihttps://nasplib.isofts.kiev.ua/handle/123456789/147434
dc.language.isoenuk_UA
dc.publisherІнститут математики НАН Україниuk_UA
dc.relation.ispartofSymmetry, Integrability and Geometry: Methods and Applications
dc.statuspublished earlieruk_UA
dc.titleQuantum Curve and the First Painlevé Equationuk_UA
dc.typeArticleuk_UA

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Symmetry, Integrability and Geometry: Methods and Applications, 2016, том 12, випуск за цей рік