Isomonodromic Deformations and Frobenius Manifolds : An Introduction
Publication year: 2008
ISBN: 978-1-84800-054-4
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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.
Subject: Mathematics and Statistics, Algebra, Manifold, Riemann-Hilbert problem, algebraic geometry, calculus, equation, frobenius manifolds, function, geometry, isomonodromic deformations, linear differential equations, mathematics, proof, vector bundle, vector bundles
