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Isomonodromic deformations and Frobenius manifoldsIsomonodromic deformations and Frobenius manifolds

Isomonodromic deformations and Frobenius manifolds

Claude Sabbah

About this book

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. It ends with applications to recent research questions related to mirror symmetry. The fundamental tool used is that of a vector bundle with connection. The book includes complete proofs, and applications to recent research questions. Aimed at graduate students and researchers, the book assumes some familiarity with basic complex algebraic geometry.

Details

OL Work ID
OL7832960W

Subjects

Holomorphic functionsVector bundlesFrobenius manifoldsFunctions of several complex variablesIsomonodromic deformation methodVector analysisDifferential equationsManifolds (mathematics)Algebraic GeometryMathematicsGeometry, algebraicMathematics, generalDéformations isomonodromiquesFrobenius, Variétés deFonctions de plusieurs variables complexes

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Book data from Open Library. Cover images courtesy of Open Library.