The Kontsevich-Penner matrix integral, isomonodromic tau functions and open intersection numbers

DOI10.1007/s00023-018-0737-8zbMath1502.37073arXiv1711.03360OpenAlexW2963722252WikidataQ128815419 ScholiaQ128815419MaRDI QIDQ1725705

Marco Bertola, Giulio Ruzza

Publication date: 14 February 2019

Published in: Annales Henri Poincaré (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1711.03360

zbMATH Keywords

Riemann Hilbert problemisomonodromic systemKontsevich-Penner matrix integral

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with topology, geometry and differential geometry (37K25) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions (37K20) Riemann-Hilbert problems in context of PDEs (35Q15)

Related Items (6)

Punctures and \(p\)-spin curves from matrix models. III: \(D_l\) type and logarithmic potential ⋮ On tau-functions for the KdV hierarchy ⋮ Punctures and \(p\)-spin curves from matrix models ⋮ Laguerre ensemble: correlators, Hurwitz numbers and Hodge integrals ⋮ On affine coordinates of the tau-function for open intersection numbers ⋮ Jacobi ensemble, Hurwitz numbers and Wilson polynomials

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