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Isomonodromic Deformations and Frobenius Manifolds

Isomonodromic Deformations and Frobenius Manifolds Mathematics

Isomonodromic Deformations and Frobenius Manifolds

0 - Default Title
Description
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.
Product details
Binding:
Paperback
Edition:
1
Number of Pages:
300
Release Date:
2007-12-19
Publication Date:
2008-01-25
Publisher:
Springer London
Languages:
Original: English
ISBN10:
1848000537
ISBN13:
9781848000537
GPSR Manufacturer Reference:
Weight:
458 g
Height:
155 cm
Width:
235 cm
Thickness:
17 cm
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