Riemann-Hilbert problem associated to Frobenius manifold structures on Hurwitz spaces: Irregular singularity

DOI10.1215/00127094-2008-030zbMath1157.34065arXiv0707.0696OpenAlexW2011615392MaRDI QIDQ935188

Vasilisa Shramchenko

Publication date: 5 August 2008

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0707.0696

zbMATH Keywords

Riemann-Hilbert problemmonodromy matrixHurwitz spacesStokes matrixcanonical bidifferentialFrobenius manifold structure

Mathematics Subject Classification ID

Gromov-Witten invariants, quantum cohomology, Frobenius manifolds (53D45) Inverse problems (Riemann-Hilbert, inverse differential Galois, etc.) for ordinary differential equations in the complex domain (34M50) Stokes phenomena and connection problems (linear and nonlinear) for ordinary differential equations in the complex domain (34M40)

Related Items (6)

Teichmüller spaces as degenerated symplectic leaves in Dubrovin-Ugaglia Poisson manifolds ⋮ A new cohomology class on the moduli space of curves ⋮ Primary invariants of Hurwitz Frobenius manifolds ⋮ Riemann-Hilbert problems for Hurwitz Frobenius manifolds ⋮ Riemann–Hilbert problem for Hurwitz Frobenius manifolds: Regular singularities ⋮ Fuchsian Riemann-Hilbert problem for “real doubles” of Hurwitz Frobenius manifolds

Cites Work

• Birkhoff invariants and Stokes' multipliers for meromorphic linear differential equations
• Monodromy preserving deformation of linear ordinary differential equations with rational coefficients. I: General theory and \(\tau \)-function
• A Riemann-Hilbert approach to asymptotic problems arising in the theory of random matrix models, and also in the theory of integrable statistical mechanics
• On orders of movable poles of the Schlesinger equation
• Solution of matrix Riemann-Hilbert problems with quasi-permutation monodromy matrices
• On the tau-function for the Schlesinger equation of isomonodromic deformations.
• Algebraic-geometrical methods in the theory of integrable equations and their perturbations
• \`\` Real doubles\'\'\ of Hurwitz Frobenius manifolds
• Weierstrass points, branch points, and moduli of riemann surfaces
• Kernel functions, analytic torsion, and moduli spaces
• Isomonodromic tau-function of Hurwitz Frobenius manifolds and its applications
• A new hierarchy of integrable systems associated to Hurwitz spaces
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Riemann-Hilbert problem associated to Frobenius manifold structures on Hurwitz spaces: Irregular singularity