-
The Yang-Mills heat flow on the moduli space of framed bundles on a surface
- American Journal of Mathematics
- Johns Hopkins University Press
- Volume 128, Number 2, April 2006
- pp. 311-359
- 10.1353/ajm.2006.0017
- Article
- Additional Information
We study the analog of the Yang-Mills heat flow on the moduli space of framed bundles on a cut surface. Existence and convergence of the heat flow give a stratification of Morse type invariant under the action of the loop group. We use the stratification to prove versions of Kähler quantization commutes with reduction and Kirwan surjectivity.