Riemann–Hilbert–Birkhoff inverse problem for semisimple flat F$F$‐manifolds and convergence of oriented associativity potentials

DOI10.1112/jlms.12860arXiv2105.06329OpenAlexW4390876607MaRDI QIDQ6199339

Giordano Cotti

Publication date: 23 February 2024

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2105.06329

zbMATH Keywords

oriented associativity equationsflat \(F\)-manifoldRiemann-Hilbert-Birkhoff boundary value problem

Mathematics Subject Classification ID

Series solutions to PDEs (35C10) Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Gromov-Witten invariants, quantum cohomology, Frobenius manifolds (53D45) Riemann-Hilbert problems in context of PDEs (35Q15) Inverse problems (Riemann-Hilbert, inverse differential Galois, etc.) for ordinary differential equations in the complex domain (34M50)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• From the Darboux-Egorov system to bi-flat \(F\)-manifolds
• BCFG Drinfeld-Sokolov hierarchies and FJRW-theory
• Birkhoff invariants and Stokes' multipliers for meromorphic linear differential equations
• Dubrovin's duality for \(F\)-manifolds with eventual identities
• Quantum groups at roots of 1
• q-Weyl group and a multiplicative formula for universal R-matrices
• The functor of toric varieties associated with Weyl chambers and Losev-Manin moduli spaces
• Integrable deformations and degenerations of some irregular singularities
• PROP profile of Poisson geometry
• Geometry and analytic theory of Frobenius manifolds
• Holomorphic universal covering spaces of polynomials without multiple roots
• Quantum \(K\)-theory. I: Foundations
• Stokes matrices, Poisson Lie groups and Frobenius manifolds.
• Moduli spaces of weighted pointed stable curves.
• Gromov-Witten classes, quantum cohomology, and enumerative geometry
• Extended \(r\)-spin theory in all genera and the discrete KdV hierarchy
• Degenerate Riemann-Hilbert-Birkhoff problems, semisimplicity, and convergence of WDVV-potentials
• \(F\)-manifolds, multi-flat structures and Painlevé transcendents
• Local moduli of semisimple Frobenius coalescent structures
• Flat structure on the space of isomonodromic deformations
• Flat F-manifolds, F-CohFTs, and integrable hierarchies
• Open WDVV equations and Virasoro constraints
• A group action on Losev-Manin cohomological field theories
• Complex reflection groups, logarithmic connections and bi-flat \(F\)-manifolds
• On the cohomology of the Losev-Manin moduli space
• Isomonodromic deformations and Frobenius manifolds. An introduction. Transl. from the French
• \(F\)-manifolds with flat structure and Dubrovin's duality
• Isomonodromy deformations at an irregular singularity with coalescing eigenvalues
• Closed extended \(r\)-spin theory and the Gelfand-Dickey wave function
• Darboux–Egorov System, Bi-flat F-Manifolds and Painlevé VI
• $F$-manifolds and integrable systems of hydrodynamic type
• On Stokes Matrices in terms of Connection Coefficients
• Matrix Analysis
• On the Reduction of Connection Problems for Differential Equations with an Irregular Singular Point to Ones with Only Regular Singularities, I
• Quantum Coadjoint Action
• Chow quotients of Grassmannian I
• Analytic geometry of semisimple coalescent Frobenius structures
• Almost duality for Saito structure and complex reflection groups
• Linear Differential Equations in the Complex Domain
• COHOMOLOGICAL FIELD THEORY CALCULATIONS
• F‐Manifolds and geometry of information
• Quantum Differential Equations and Helices
• Results on the extension of isomonodromy deformations to the case of a resonant irregular singularity
• Braid Groups
• ON MATRICES DEPENDING ON PARAMETERS
• Extended $r$-spin theory and the mirror symmetry for the $A_{r-1}$-singularity
• Cyclic Stratum of Frobenius Manifolds, Borel–Laplace (α, β)-Multitransforms, and Integral Representations of Solutions of Quantum Differential Equations
• New moduli spaces of pointed curves and pencils of flat connections.

This page was built for publication: Riemann–Hilbert–Birkhoff inverse problem for semisimple flat F$F$‐manifolds and convergence of oriented associativity potentials