Geometry and Integrability
Based on courses held at the Feza GÜrsey Institute, this collection of survey articles introduces advanced graduate students to an exciting area on the border of mathematics and mathematical physics. Including articles by key names such as Calogero, Donagi and Mason, it features the algebro-geometric material from Donagi as well as the twistor space methods in Woodhouse's contribution, forming a bridge between the pure mathematics and the more physical approaches.
- Includes contributions from some of the key researchers in the field
- Bridges the gap between pure mathematics and the more physical approaches
Product details
December 2003Paperback
9780521529990
166 pages
228 × 154 × 12 mm
0.29kg
Available
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.