Inverse problem and monodromy data for three-dimensional Frobenius manifolds

DOI10.1023/A:1012933622521zbMath1001.53061OpenAlexW1588937016MaRDI QIDQ5959821

Davide Guzzetti

Publication date: 11 April 2002

Published in: Mathematical Physics, Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1012933622521

zbMATH Keywords

isomonodromy deformationFrobenius manifoldPainleve VI transcendentsWDVV equation

Mathematics Subject Classification ID

Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Topological field theories in quantum mechanics (81T45) Gromov-Witten invariants, quantum cohomology, Frobenius manifolds (53D45)

Related Items

The elliptic representation of the general Painlevé VI equation ⋮ Local moduli of semisimple Frobenius coalescent structures ⋮ Pole distribution of PVI transcendents close to a critical point ⋮ Analytic geometry of semisimple coalescent Frobenius structures ⋮ The sixth Painlevé equation as isomonodromy deformation of an irregular system: monodromy data, coalescing eigenvalues, locally holomorphic transcendents and Frobenius manifolds ⋮ 4-dimensional Frobenius manifolds and Painlevé VI ⋮ Quantum Differential Equations and Helices ⋮ Computing genus zero Gromov-Witten invariants of Fano varieties ⋮ The singularity of Kontsevich's solution for \(QH^{*}(\mathbb C P^{2})\) ⋮ Degenerate Riemann-Hilbert-Birkhoff problems, semisimplicity, and convergence of WDVV-potentials ⋮ Results on the extension of isomonodromy deformations to the case of a resonant irregular singularity ⋮ Isomonodromic deformations along a stratum of the coalescence locus

Uses Software

• YYY