Flat structure on the space of isomonodromic deformations
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Publication:2223047
DOI10.3842/SIGMA.2020.110zbMath1465.34100arXiv1511.01608MaRDI QIDQ2223047
Mitsuo Kato, Toshiyuki Mano, Jiro Sekiguchi
Publication date: 28 January 2021
Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1511.01608
Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Isomonodromic deformations for ordinary differential equations in the complex domain (34M56)
Related Items (13)
Regular non-semisimple Dubrovin–Frobenius manifolds ⋮ Integrable hierarchies, Frölicher–Nijenhuis bicomplexes and Lauricella bi-flat F-manifolds ⋮ \(F\)-algebroids and deformation quantization via pre-Lie algebroids ⋮ Hurwitz numbers for reflection groups. II: Parabolic quasi-Coxeter elements ⋮ Riemann–Hilbert–Birkhoff inverse problem for semisimple flat F$F$‐manifolds and convergence of oriented associativity potentials ⋮ Semisimple flat F-manifolds in higher genus ⋮ Topology of arrangements and representation stability. Abstracts from the workshop held January 14--20, 2018 ⋮ The WDVV solution \(E_8(a_1)\) ⋮ Flat F-manifolds, F-CohFTs, and integrable hierarchies ⋮ OKUBO TYPE DIFFERENTIAL EQUATIONS DERIVED FROM HYPERGEOMETRIC FUNCTIONS <i>F</i><i><sub>D </sub></i> ⋮ 3-dimensional \(F\)-manifolds ⋮ A Dubrovin-Frobenius manifold structure of NLS type on the orbit space of \(B_n\) ⋮ A Frobenius manifold for \(\ell \)-Kronecker quiver
Cites Work
- Unnamed Item
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- Mixed Frobenius structure and local quantum cohomology
- Computation of \(RS\)-pullback transformations for algebraic Painlevé VI solutions
- From the Darboux-Egorov system to bi-flat \(F\)-manifolds
- Fractional calculus of Weyl algebra and Fuchsian differential equations
- Algebraic solutions of the sixth Painlevé equation
- Quadratic transformations for the sixth Painlevé equation
- Monodromy preserving deformation of linear ordinary differential equations with rational coefficients. I: General theory and \(\tau \)-function
- Monodromy preserving deformation of linear ordinary differential equations with rational coefficients. II
- A classification of weighted homogeneous Saito free divisors
- On the structure of Brieskorn lattice
- Free arrangements of hyperplanes and unitary reflection groups
- On a linear structure of the quotient variety by a finite reflexion group
- Painlevé equations and complex reflections.
- Monodromy of certain Painlevé-VI transcendents and reflection groups
- \(F\)-manifolds, multi-flat structures and Painlevé transcendents
- Finite complex reflection arrangements are \(K(\pi,1)\)
- Complex reflection groups, logarithmic connections and bi-flat \(F\)-manifolds
- Freeness of multi-reflection arrangements via primitive vector fields
- Regular flat structure and generalized Okubo system
- Middle convolution of Fuchsian systems and the construction of rigid differential systems
- Isomonodromic deformations and Frobenius manifolds. An introduction. Transl. from the French
- \(F\)-manifolds with flat structure and Dubrovin's duality
- Darboux–Egorov System, Bi-flat F-Manifolds and Painlevé VI
- Katz's middle convolution and Yokoyama's extending operation
- Some explicit solutions to the Riemann–Hilbert problem
- Towards a nonlinear Schwarz's list
- Generating Systems for Finite Irreducible Complex Reflection Groups
- The fifty-two icosahedral solutions to Painlevé VI
- Higher Genus Icosahedral Painleve Curves
- On a certain generator system of the ring of invariants of a finite reflection group
- On the Reduction of Connection Problems for Differential Equations with an Irregular Singular Point to Ones with Only Regular Singularities, I
- A LECTURE ON THE OCTAHEDRON
- Flat structure and potential vector fields related with algebraic solutions to Painlevé VI equation
- Regular F-manifolds: initial conditions and Frobenius metrics
- Flat Structures and Algebraic Solutions to Painlevé VI Equation
- From Klein to Painlevé via Fourier, Laplace and Jimbo
- Almost duality for Saito structure and complex reflection groups
- Discriminants in the invariant theory of reflection groups
- Rigid Local Systems. (AM-139)
- Generalized Okubo Systems and the Middle Convolution
- Linear Differential Equations in the Complex Domain
- On Algebraic Solutions to Painleve VI
- Classification of Fuchsian systems and their connection problem
- UNIFORMIZATION SYSTEMS OF EQUATIONS WITH SINGULARITIES ALONG THE DISCRIMINANT SETS OF COMPLEX REFLECTION GROUPS OF RANK THREE
- Quadratic transformations of the sixth Painlevé equation with application to algebraic solutions
- Construction of systems of differential equations of Okubo normal form with rigid monodromy
- Explicit Presentations for Exceptional Braid Groups
- Grothendieck’s dessins d’enfants, their deformations, and algebraic solutions of the sixth Painlevé and Gauss hypergeometric equations
- Finite Unitary Reflection Groups
- An algorithm of Katz and its application to the inverse Galois problem.
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