Quantum Curve and the First Painlevé Equation

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Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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Symmetry, Integrability and Geometry: Methods and Applications, 2016, том 12
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dc.contributor.author	Iwaki, K.
dc.contributor.author	Saenz, A.
dc.date.accessioned	2019-02-14T18:33:32Z
dc.date.available	2019-02-14T18:33:32Z
dc.date.issued	2016
dc.identifier.citation	Quantum 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.issn	1815-0659
dc.identifier.other	2010 Mathematics Subject Classification: 34M55; 81T45; 34M60; 34M56
dc.identifier.other	DOI:10.3842/SIGMA.2016.011
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/147434
dc.description.abstract	We 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.sponsorship	The 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.language.iso	en	uk_UA
dc.publisher	Інститут математики НАН України	uk_UA
dc.relation.ispartof	Symmetry, Integrability and Geometry: Methods and Applications
dc.title	Quantum Curve and the First Painlevé Equation	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA