| Description |
1 online resource (xiv, 279 pages) : illustrations |
| Series |
Universitext |
|
Universitext.
|
| Contents |
The language of fibre bundles -- Holomorphic vector bundles on the Riemann sphere -- The Riemann-Hilbert correspondence on a Riemann surface -- Lattices -- The Riemann-Hilbert problem and Birkhoff's problem -- Fourier-Laplace duality -- Integrable deformations of bundles with connection on the Riemann sphere -- Saito structures and Frobenius structures on a complex analytic manifold |
| Summary |
"The notion of a Frobenius structure on a complex analytic manifold appeared at the end of the 1970s in the theory of singularities of holomorphic functions. Motivated by physical considerations, further development of the theory has opened new perspectives on, and revealed new links between, many apparently unrelated areas of mathematics and physics." "Based on a series of graduate lectures, this book provides an introduction to algebraic geometric methods in the theory of complex linear differential equations. Starting from basic notions in complex algebraic geometry, it develops some of the classical problems of linear differential equations and ends with applications to recent research questions related to mirror symmetry." "Aimed at graduate students and researchers, the book assumes some familiarity with basic complex algebraic geometry."--Jacket |
| Analysis |
wiskunde |
|
mathematics |
|
algebraic geometry |
|
Mathematics (General) |
|
Wiskunde (algemeen) |
| Notes |
Translated from the French |
| Bibliography |
Includes bibliographical references and index |
| Notes |
Translated from the French |
|
Print version record |
| Subject |
Isomonodromic deformation method.
|
|
Frobenius manifolds.
|
|
Functions of several complex variables.
|
|
Frobenius manifolds.
|
|
Déformations isomonodromiques.
|
|
Frobenius, Variétés de.
|
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Fonctions de plusieurs variables complexes.
|
|
Isomonodromic deformation method.
|
|
Funciones de varias variables complejas
|
|
Functions of several complex variables
|
|
Frobenius manifolds
|
|
Isomonodromic deformation method
|
| Form |
Electronic book
|
| ISBN |
9781848000544 |
|
1848000545 |
|
9781848000537 |
|
1848000537 |
|
