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.
- Year
- 1997
- Tongue
- English
- Leaves
- 25
- 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."
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