Geometry of spectral curves and all order dispersive integrable system
From MaRDI portal
Publication:352431
DOI10.3842/SIGMA.2012.100zbMath1270.14017arXiv1110.4936OpenAlexW2112280696MaRDI QIDQ352431
Publication date: 4 July 2013
Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1110.4936
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Relationships between algebraic curves and integrable systems (14H70) Theta functions and curves; Schottky problem (14H42) Riemann surfaces (30Fxx)
Related Items
Integrable differential systems of topological type and reconstruction by the topological recursion ⋮ Quantization of hyper-elliptic curves from isomonodromic systems and topological recursion ⋮ Baker-Akhiezer spinor kernel and tau-functions on moduli spaces of meromorphic differentials ⋮ From topological recursion to wave functions and PDEs quantizing hyperelliptic curves ⋮ Formal multidimensional integrals, stuffed maps, and topological recursion ⋮ 2-parameter \(\tau\)-function for the first Painlevé equation: topological recursion and direct monodromy problem via exact WKB analysis ⋮ Rational differential systems, loop equations, and application to the \(q\)th reductions of KP ⋮ Loop equations from differential systems on curves ⋮ Exact eigenfunctions and the open topological string ⋮ Blobbed topological recursion: properties and applications ⋮ Asymptotic expansion of matrix models in the multi-cut regime ⋮ Szegő kernel and symplectic aspects of spectral transform for extended spaces of rational matrices ⋮ Whittaker vectors for \(\mathcal{W}\)-algebras from topological recursion ⋮ The ABCD of topological recursion ⋮ Isomonodromic deformations of a rational differential system and reconstruction with the topological recursion: The sl2 case ⋮ Reconstructing WKB from topological recursion ⋮ Painlevé equations, topological type property and reconstruction by the topological recursion ⋮ Airy structures for semisimple Lie algebras ⋮ Wavefunctions, integrability, and open strings ⋮ A-polynomial, B-model, and quantization ⋮ All order asymptotics of hyperbolic knot invariants from non-perturbative topological recursion of A-polynomials