Authors:
First book to cover this material at a level that is accessible to graduate students and young researchers
Includes complete proofs, and applications to recent research questions
Part of the book series: Universitext (UTX)
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Table of contents (8 chapters)
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Front Matter
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Back Matter
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 and ends with applications to recent research questions related to mirror symmetry.
The fundamental tool used within the book is that of a vector bundle with connection. There is a detailed analysis of the singularities of such objects and of their deformations, and coverage of the techniques used in the resolution of the Riemann-Hilbert problem and Birkhoff’s problem. An approach to Frobenius manifolds using isomonodromic deformations of linear differential equations is also developed.
Aimed at graduate students and researchers, the book assumes some familiarity with basic complex algebraic geometry.
Authors and Affiliations
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CNRS Centre de Mathématiques Laurent Schwartz, École Polytechnique, France
Claude Sabbah
Bibliographic Information
Book Title: Isomonodromic Deformations and Frobenius Manifolds
Book Subtitle: An Introduction
Authors: Claude Sabbah
Series Title: Universitext
DOI: https://doi.org/10.1007/978-1-84800-054-4
Publisher: Springer London
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer-Verlag London 2008
Softcover ISBN: 978-1-84800-053-7Published: 25 January 2008
eBook ISBN: 978-1-84800-054-4Published: 20 December 2007
Series ISSN: 0172-5939
Series E-ISSN: 2191-6675
Edition Number: 1
Number of Pages: XIV, 279
Number of Illustrations: 10 b/w illustrations
Additional Information: Original French edition published by EDP Sciences, CNRS Editions, France, 2007
Topics: Algebraic Geometry, Mathematics, general, Algebra