On an extension of the generalized BGW tau-function

DOI10.1007/s11005-021-01465-3OpenAlexW3202352863MaRDI QIDQ2242427

Chun Hui Zhou, Di Yang

Publication date: 9 November 2021

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

Full work available at URL: https://arxiv.org/abs/2010.00436

zbMATH Keywords

Schur polynomialanalogous open extensionBurgers-KdV hierarchyDubrovin-Zhang type tau-functiongeneralized BGW tau-functionKP tau-function

Mathematics Subject Classification ID

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) 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 algebraic geometry, complex analysis, and special functions (37K20) Gromov-Witten invariants, quantum cohomology, Frobenius manifolds (53D45)

Related Items (1)

Gelfand–Dickey hierarchy, generalized BGW tau-function, and W-constraints

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Hodge integrals and tau-symmetric integrable hierarchies of Hamiltonian evolutionary PDEs
• Equivalence of the open KdV and the open Virasoro equations for the moduli space of Riemann surfaces with boundary
• Intersection theory on the moduli space of curves and the matrix Airy function
• Topological recursion on the Bessel curve
• Open intersection numbers, matrix models and MKP hierarchy
• Unitary integrals and related matrix models
• Remarks on intersection numbers and integrable hierarchies. I: Quasi-triviality
• Counting lattice points in the moduli space of curves
• Brezin-Gross-Witten tau function and isomonodromic deformations
• Open WDVV equations and Virasoro constraints
• Geometric interpretation of Zhou's explicit formula for the Witten-Kontsevich tau function
• Correlation functions of the KdV hierarchy and applications to intersection numbers over \(\overline{\mathcal{M}}_{g, n}\)
• Open intersection numbers, Kontsevich-Penner model and cut-and-join operators
• On tau-functions for the KdV hierarchy
• Cut-and-join description of generalized Brezin-Gross-Witten model
• UNITARY MATRIX INTEGRALS IN THE FRAMEWORK OF THE GENERALIZED KONTSEVICH MODEL
• Open intersection numbers and the wave function of the KdV hierarchy
• Schur function expansions of KP τ-functions associated to algebraic curves
• KP Hierarchies of Orthogonal and Symplectic Type–Transformation Groups for Soliton Equations VI–
• Introduction to Classical Integrable Systems
• COMBINATORICS OF THE MODULAR GROUP II THE KONTSEVICH INTEGRALS
• The partition function of the extendedr-reduced Kadomtsev–Petviashvili hierarchy

This page was built for publication: On an extension of the generalized BGW tau-function