ENGLISH

Lectures on integrable systems and gauge theory

By Audin M.

Book information

Year
1995
Language
english
Format
DJVU
Filesize
2 MB (1592146 bytes)
Edition
draft
Pages
28\28
Library
Kolxo3
DPI
300
Scanned
yes
Time added
2009-07-20 03:45:11

Description

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, it seems to me that a general presentation is lacking in the literature, and that this i.s a pity, as so many beautiful ideas are involved. The reasons why one is willing to consider such things are various and the motivations really depend on the authors. My two starting points will be: 1. It is interesting to understand the geometry of the moduli space. There are a lot of motivations (some of them coming from physics). 2. In order to understand the geometry of a Poisson manifold, it is very helpful to have an integrable system on it.

Similar books