Synopses & Reviews
Articles from leading researchers to introduce the reader to cutting-edge topics in integrable systems theory.
Synopsis
Based on a seminar for graduates held at the Feza Gürsey Institute, there are articles by some key researchers. One attractive feature is the inclusion of the algebro-geometric material as well as the twistor space methods, which form a bridge between the pure mathematics and the more physical approaches.
Synopsis
This collection of survey articles is based on a seminar held at the Feza Gürsey Institute to introduce advanced graduate students to this exciting area lying on the border of mathematics and mathematical physics. There are articles by some key names such as Calogero, Donagi and Mason himself. One attractive feature is the inclusion of the algebro-geometric material from Donagi as well as the twistor space methods exemplified by Woodhouse's article, which forms a bridge between the pure mathematics and the more physical approaches.
Table of Contents
1. Introduction Lionel Mason; 2. Differential equations featuring many periodic solutions F. Calogero; 3. Geometry and integrability R. Y. Donagi; 4. The anti self-dual Yang-Mills equations and their reductions Lionel Mason; 5. Curvature and integrability for Bianchi-type IX metrics K. P. Tod; 6. Twistor theory for integrable equations N. M. J. Woodhouse; 7. Nonlinear equations and the d-bar problem P. Santini.