Solutions of the loop equations of a class of generalized Frobenius manifolds
DOI10.1007/S00220-024-05083-7MaRDI QIDQ6615981
Yuewei Wang, Haonan Qu, Si-Qi Liu, Youjin Zhang
Publication date: 8 October 2024
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
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) Gromov-Witten invariants, quantum cohomology, Frobenius manifolds (53D45)
Cites Work
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Hodge integrals and tau-symmetric integrable hierarchies of Hamiltonian evolutionary PDEs
- The Witten equation, mirror symmetry, and quantum singularity theory
- Bihamiltonian cohomologies and integrable hierarchies. I: A special case
- The local Gromov-Witten theory of \({\mathbb{C}\mathbb{P}^1}\) and integrable hierarchies
- Virasoro constraints for target curves
- Towards a bihamiltonian structure for the double ramification hierarchy
- Frobenius manifolds and central invariants for the Drinfeld-Sokolov bihamiltonian structures
- Intersection theory on the moduli space of curves and the matrix Airy function
- On a trace functional for formal pseudo-differential operators and the symplectic structure of the Korteweg-deVries type equations
- Bihamiltonian hierarchies in 2D topological field theory at one-loop approximation
- On the \(\mathbb{C}\mathbb{P}^1\) topological sigma model and the Toda lattice hierarchy
- Bihamiltonian cohomologies and integrable hierarchies. II: The tau structures
- Fractional Volterra hierarchy
- Deformations of semisimple Poisson pencils of hydrodynamic type are unobstructed
- Virasoro symmetries of the extended Toda hierarchy
- A polynomial bracket for the Dubrovin-Zhang hierarchies
- Integrable hierarchies and the mirror model of local \({\mathbb {CP}}^{1}\)
- Hodge-GUE correspondence and the discrete KdV equation
- Double ramification cycles and integrable hierarchies
- The Hodge-FVH correspondence
- Bi-Hamiltonian recursion, Liu-Pandharipande relations, and vanishing terms of the second Dubrovin-Zhang bracket
- The loop equation for special cubic Hodge integrals
- Flat F-manifolds, F-CohFTs, and integrable hierarchies
- DR/DZ equivalence conjecture and tautological relations
- Lecture notes on Bihamiltonian structures and their central invariants
- Semisimple flat F-manifolds in higher genus
- An integrable discretization of KdV at large times
- A discrete Schr dinger spectral problem and associated evolution equations
- Lie Groups, Lie Algebras, and Representations
- -constraints for the total descendant potential of a simple singularity
- On Hamiltonian perturbations of hyperbolic systems of conservation laws I: Quasi‐Triviality of bi‐Hamiltonian perturbations
- The extended bigraded Toda hierarchy
This page was built for publication: Solutions of the loop equations of a class of generalized Frobenius manifolds
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6615981)