Isomonodromic deformations of a rational differential system and reconstruction with the topological recursion: The sl2 case

DOI10.1063/5.0002260zbMath1461.34100arXiv1901.04344OpenAlexW2911067433MaRDI QIDQ5136135

Nicolas Orantin, Olivier Marchal

Publication date: 25 November 2020

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1901.04344

zbMATH Keywords

Painlevé equationsisomonodromic deformationstopological recursiontopological type propertyisospectral systems

Mathematics Subject Classification ID

Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Isomonodromic deformations for ordinary differential equations in the complex domain (34M56)

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Quantization of hyper-elliptic curves from isomonodromic systems and topological recursion ⋮ From topological recursion to wave functions and PDEs quantizing hyperelliptic curves ⋮ Asymptotic expansion of Toeplitz determinants of an indicator function with discrete rotational symmetry and powers of random unitary matrices ⋮ Topological recursion and uncoupled BPS structures. II: Voros symbols and the \(\tau\)-function ⋮ Voros coefficients and the topological recursion for the hypergeometric differential equation of type (1, 4) ⋮ Witten-Reshetikhin-Turaev function for a knot in Seifert manifolds ⋮ Topological recursion and uncoupled BPS structures. I: BPS spectrum and free energies

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