书目名称 | Isomonodromic Deformations and Frobenius Manifolds |
副标题 | An Introduction |
编辑 | Claude Sabbah |
视频video | |
概述 | 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 |
丛书名称 | Universitext |
图书封面 |  |
描述 | .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.. |
出版日期 | Textbook 2008 |
关键词 | Algebra; Manifold; Riemann-Hilbert problem; algebraic geometry; calculus; equation; frobenius manifolds; fu |
版次 | 1 |
doi | https://doi.org/10.1007/978-1-84800-054-4 |
isbn_softcover | 978-1-84800-053-7 |
isbn_ebook | 978-1-84800-054-4Series ISSN 0172-5939 Series E-ISSN 2191-6675 |
issn_series | 0172-5939 |
copyright | Springer-Verlag London 2008 |