Isomonodromic Deformations and Frobenius Manifolds An Introduction

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, man...

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Bibliographic Details
Main Author: Sabbah, Claude
Format: eBook
Language:English
Published: London Springer London 2008, 2008
Edition:1st ed. 2008
Series:Universitext
Subjects:
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
Table of Contents:
  • The language of fibre bundles
  • Holomorphic vector bundles on the Riemann sphere
  • The Riemann-Hilbert correspondence on a Riemann surface
  • Lattices
  • The Riemann-Hilbert problem and Birkhoff’s problem
  • Fourier-Laplace duality
  • Integrable deformations of bundles with connection on the Riemann sphere
  • Saito structures and Frobenius structures on a complex analytic manifold