Non-commutative Hodge structures
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Publication:2391370
DOI10.5802/aif.2790zbMath1300.14011arXiv1107.5890OpenAlexW1617721273MaRDI QIDQ2391370
Publication date: 31 July 2013
Published in: Annales de l'Institut Fourier (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1107.5890
Hodge theory in global analysis (58A14) Variation of Hodge structures (algebro-geometric aspects) (14D07) Noncommutative geometry (à la Connes) (58B34) Stokes phenomena and connection problems (linear and nonlinear) for ordinary differential equations in the complex domain (34M40)
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Meromorphic Higgs bundles and related geometries, An analogue of Dubrovin's conjecture, Non-commutative Hodge structures: Towards matching categorical and geometric examples, Logarithmic Frobenius manifolds, hypergeometric systems and quantum 𝒟-modules
Cites Work
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- Cohomological Hall algebra, exponential Hodge structures and motivic Donaldson-Thomas invariants
- Introduction to Stokes structures
- Asymptotic behaviour of variation of pure polarized TERP structure
- Modules de Hodge polarisables. (Polarisable Hodge modules)
- An integral structure in quantum cohomology and mirror symmetry for toric orbifolds
- Limits of families of Brieskorn lattices and compactified classifying spaces
- Hypergeometric periods for a tame polynomial
- Topological--anti-topological fusion.
- Curvature of classifying spaces for Brieskorn lattices
- Non-commutative Hodge-to-de Rham degeneration via the method of Deligne-Illusie
- The asymptotic behavior of a variation of polarized Hodge structure
- Transformation de Fourier et majoration de sommes exponentielles. (Fourier transformation and majoration of exponential sums.)
- On the structure of Brieskorn lattice
- Differential equations with polynomial coefficients
- Higgs bundles and local systems
- On classification of \(N=2\) supersymmetric theories
- Degeneration of Hodge structures
- Meromorphic connections. II: The canonic grid
- Examples of non-commutative Hodge structures
- Fourier-Laplace transform of a variation of polarized complex Hodge structure, II
- Motivic structures in non-commutative geometry
- Wild Harmonic Bundles and Wild Pure Twistor D-modules
- Harmonic Bundles on Noncompact Curves
- Asymptotic behaviour of tame harmonic bundles and an application to pure twistor 𝐷-modules. II
- Induced ${\cal D}$-modules and differential complexes
- Fourier-Laplace transform of a variation of polarized complex Hodge structure
- Twistor structures, tt*-geometry and singularity theory
- Hodge theoretic aspects of mirror symmetry
- Wild twistor D-modules
- On the Reduction of Connection Problems for Differential Equations with an Irregular Singular Point to Ones with Only Regular Singularities, I
- ASYMPTOTIC HODGE STRUCTURE IN THE VANISHING COHOMOLOGY
- Exponential Sums and Differential Equations. (AM-124)
- The Hodge filtration on nonabelian cohomology
- tt* geometry, Frobenius manifolds, their connections, and the construction for singularities
- Rigid Local Systems. (AM-139)
- Non-commutative Hodge structures: Towards matching categorical and geometric examples
- Nilpotent orbits of a generalization of Hodge structures
- Mixed Hodge Structures
- Mixed Hodge modules
