Quantum differential systems and construction of rational structures

DOI10.1007/s00229-014-0678-6zbMath1301.32020OpenAlexW1975876416MaRDI QIDQ470881

Antoine Douai

Publication date: 13 November 2014

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00229-014-0678-6

zbMATH Keywords

mirrow symmetryquantum differential systems

Mathematics Subject Classification ID

Singularities, monodromy and local behavior of solutions to ordinary differential equations in the complex domain, normal forms (34M35) Monodromy; relations with differential equations and (D)-modules (complex-analytic aspects) (32S40) Mirror symmetry (algebro-geometric aspects) (14J33)

Related Items (4)

Quantum differential systems and construction of rational structures ⋮ Global spectra, polytopes and stacky invariants ⋮ Harmonic bundles and Toda lattices with opposite sign. II ⋮ The \(B\)-model connection and mirror symmetry for Grassmannians

Cites Work

• Quantum differential systems and construction of rational structures
• Hori-Vafa mirror models for complete intersections in weighted projective spaces and weak Landau-Ginzburg models
• Period mapping associated to a primitive form
• An integral structure in quantum cohomology and mirror symmetry for toric orbifolds
• Hypergeometric periods for a tame polynomial
• A canonical Frobenius structure
• On the structure of Brieskorn lattice
• Polyedres de Newton et nombres de Milnor
• Monodromy at infinity and Fourier transform
• Gauss-Manin systems, Brieskorn lattices and Frobenius structures. I.
• A new cohomology theory of orbifold
• The small quantum cohomology of a weighted projective space, a mirror \(D\)-module and their classical limits
• Fourier-Laplace transform of a variation of polarized complex Hodge structure
• Hodge theoretic aspects of mirror symmetry
• tt* geometry, Frobenius manifolds, their connections, and the construction for singularities
• Logarithmic Frobenius manifolds, hypergeometric systems and quantum 𝒟-modules
• Equivariant Gromov - Witten Invariants
• A construction of Frobenius manifolds with logarithmic poles and applications
• 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

This page was built for publication: Quantum differential systems and construction of rational structures