Isomonodromic Deformations and Frobenius Manifolds 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024

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Claude Sabbah 作者

Springer

译者

2007-12-19 出版日期

293 页数

USD 59.95 价格

Paperback

丛书系列

9781848000537 图书编码

Isomonodromic Deformations and Frobenius Manifolds 在线电子书图书标签: 数学复几何 and Springer Manifolds Isomonodromic Frobenius Deformations

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Isomonodromic Deformations and Frobenius Manifolds 在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2024

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Isomonodromic Deformations and Frobenius Manifolds 在线电子书 pdf 下载 txt下载 epub 下载 mobi 在线电子书下载

Isomonodromic Deformations and Frobenius Manifolds 在线电子书图书描述

The notion of a Frobenius structure on a complex analytic manifold appeared at the end of the seventies 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. 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 Birkhoffa (TM)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.

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