I will present here some examples of integrable systems, all of them defined on the moduli space of flat connections on a trivial bundle over a surface. These examples have been constructed by (loldman, Jeffrey and Weitsman. lock. Alekseev, so that there will be nothing new in these notes. However,
Lectures on gauge theory and integrable systems
โ Scribed by Audin M.
- Book ID
- 127397418
- Year
- 1997
- Tongue
- English
- Weight
- 455 KB
- Category
- Library
No coin nor oath required. For personal study only.
โฆ Synopsis
"Contents of the lectures. - For the convenience of the reader, and to set the scene, I will recall a few basic facts (definitions, constructions and examples) from the theory of integrable systems. I will also explain some classical examples, in connection with the Arnold-Liouville theorem. I will then describe the moduli space and its Poisson structure from two points of view (infinite dimensional, a la Atiyah-Bott, finite dimensional, d la Fock-Roslyi). The last part is devoted to the description of Goldman's functions and to the examples."
๐ SIMILAR VOLUMES
Mainly drawing on explicit examples, the author introduces the reader to the most recent techniques to study finite and infinite dynamical systems. Without any knowledge of differential geometry or lie groups theory the student can follow in a series of case studies the most recent developments. r-m