and background material.- Introduction,.- A historical introduction to solitons and Bäcklund tranformations,.- Harmonic maps into symmetric spaces and integrable systems,.- The geometry of surfaces.- The affine Toda equations and miminal surfaces,.- Surfaces in terms of 2 by 2 matrices: Old and new integrable cases,.- Integrable systems, harmonic maps and the classical theory of solitons,.- Sigma and chiral models.- The principal chiral model as an integrable system,.- 2-dimensional nonlinear sigma models: Zero curvature and Poisson structure,.- Sigma models in 2 + 1 dimensions,.- The algebraic approach.- Infinite dimensional Lie groups and the two-dimensional Toda lattice,.- Harmonic maps via Adler-Kostant-Symes theory,.- Loop group actions on harmonic maps and their applications,.- The twistor approach.- Twistors, nilpotent orbits and harmonic maps,.
Inhaltsverzeichnis
and background material. - Introduction, . - A historical introduction to solitons and Bäcklund tranformations, . - Harmonic maps into symmetric spaces and integrable systems, . - The geometry of surfaces. - The affine Toda equations and miminal surfaces, . - Surfaces in terms of 2 by 2 matrices: Old and new integrable cases, . - Integrable systems, harmonic maps and the classical theory of solitons, . - Sigma and chiral models. - The principal chiral model as an integrable system, . - 2-dimensional nonlinear sigma models: Zero curvature and Poisson structure, . - Sigma models in 2 + 1 dimensions, . - The algebraic approach. - Infinite dimensional Lie groups and the two-dimensional Toda lattice, . - Harmonic maps via Adler-Kostant-Symes theory, . - Loop group actions on harmonic maps and their applications, . - The twistor approach. - Twistors, nilpotent orbits and harmonic maps, .
