On a new proof of the Okuyama–Sakai conjecture

DOI10.1142/s0129055x23500253arXiv2303.09243OpenAlexW4385491710WikidataQ122932687 ScholiaQ122932687MaRDI QIDQ6067763

Qing-Sheng Zhang, Di Yang

Publication date: 14 December 2023

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

Full work available at URL: https://arxiv.org/abs/2303.09243

zbMATH Keywords

KdV hierarchyWitten-Kontsevich tau-functionBrézin-Gross-Witten tau-functionDubrovin-Zhang theory

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects) (14N35) 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) Hodge theory in global analysis (58A14) Gromov-Witten invariants, quantum cohomology, Frobenius manifolds (53D45)

Cites Work

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• Hodge integrals and tau-symmetric integrable hierarchies of Hamiltonian evolutionary PDEs
• On Hamiltonian perturbations of hyperbolic systems of conservation laws. II: Universality of critical behaviour
• Intersection theory on the moduli space of curves and the matrix Airy function
• The NBI matrix model of IIB superstrings
• Topological recursion on the Bessel curve
• On cubic Hodge integrals and random matrices
• Hodge integrals and invariants of the unknot
• A proof of a conjecture of Mariño-Vafa on Hodge integrals
• Hodge-GUE correspondence and the discrete KdV equation
• Remarks on intersection numbers and integrable hierarchies. I: Quasi-triviality
• Generalized Brézin-Gross-Witten tau-function as a hypergeometric solution of the BKP hierarchy
• BKP hierarchy, affine coordinates, and a formula for connected bosonic \(n\)-point functions
• Intersection numbers on \({\overline{M}}_{g,n}\) and BKP hierarchy
• Brezin-Gross-Witten tau function and isomonodromic deformations
• On Itzykson-Zuber ansatz
• Correlation functions of the KdV hierarchy and applications to intersection numbers over \(\overline{\mathcal{M}}_{g, n}\)
• The irreducibility of the space of curves of a given genus
• JT supergravity and Brezin-Gross-Witten tau-function
• On tau-functions for the KdV hierarchy
• Cut-and-join description of generalized Brezin-Gross-Witten model
• Q-polynomial expansion for Brézin-Gross-Witten tau-function
• The Gromov-Witten Potential of A Point, Hurwitz Numbers, and Hodge Integrals
• UNITARY MATRIX INTEGRALS IN THE FRAMEWORK OF THE GENERALIZED KONTSEVICH MODEL
• A formula of two-partition Hodge integrals
• COMBINATORICS OF THE MODULAR GROUP II THE KONTSEVICH INTEGRALS
• ON THE GENUS EXPANSION IN THE TOPOLOGICAL STRING THEORY
• Grothendieck’s dessins d’enfants in a web of dualities. III
• On the gauge theory/geometry correspondence

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