Simple Lie Algebras and Topological ODEs

DOI10.1093/imrn/rnw285zbMath1406.17016arXiv1508.03750OpenAlexW2964273978MaRDI QIDQ4619337

Di Yang, Marco Bertola, B. A. Dubrovin

Publication date: 6 February 2019

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1508.03750

Mathematics Subject Classification ID

Linear ordinary differential equations and systems (34A30) Other functions coming from differential, difference and integral equations (33E30) Simple, semisimple, reductive (super)algebras (17B20)

Related Items (14)

Drinfeld-Sokolov hierarchies, tau functions, and generalized Schur polynomials ⋮ On tau-functions for the KdV hierarchy ⋮ Integrable differential systems of topological type and reconstruction by the topological recursion ⋮ Generating series for GUE correlators ⋮ Geometry and arithmetic of integrable hierarchies of KdV type. I: Integrality ⋮ From wave functions to tau-functions for the Volterra lattice hierarchy ⋮ On the large genus asymptotics of psi-class intersection numbers ⋮ Laguerre ensemble: correlators, Hurwitz numbers and Hodge integrals ⋮ Bethe ansatz and the spectral theory of affine Lie algebra-valued connections. II: The non simply-laced case ⋮ Jacobi ensemble, Hurwitz numbers and Wilson polynomials ⋮ On tau-functions for the Toda lattice hierarchy ⋮ Simple Lie algebras, Drinfeld--Sokolov hierarchies, and multi-point correlation functions ⋮ Matrix resolvent and the discrete KdV hierarchy ⋮ Gelfand–Dickey hierarchy, generalized BGW tau-function, and W-constraints

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