The Yang-Mills heat flow on the moduli space of framed bundles on a surface
Abstract
Description
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 Kahler quantization commutes with reduction and Kirwan surjectivity.
51 pages. Rewritten and corrected. Title changed from "A Kirwan-Ness stratification for loop groups", in order to make clear the main results are analytical
51 pages. Rewritten and corrected. Title changed from "A Kirwan-Ness stratification for loop groups", in order to make clear the main results are analytical