The Yang-Mills heat flow on the moduli space of framed bundles on a surface
Symplectic Geometry
2007-05-23 v3 Analysis of PDEs
Abstract
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.
Keywords
Cite
@article{arxiv.math/0211231,
title = {The Yang-Mills heat flow on the moduli space of framed bundles on a surface},
author = {Christopher T. Woodward},
journal= {arXiv preprint arXiv:math/0211231},
year = {2007}
}
Comments
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