Isomonodromic Deformations and Frobenius Manifolds An Introduction /

• Main Author: Sabbah, Claude (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: London : Springer London, 2008.
• Series: Universitext
• Subjects: Mathematics.; Algebra.; Algebraic geometry.; Algebraic Geometry.; Mathematics, general.

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...

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.