The Yang-Mills heat flow on the moduli space of framed bundles on a surface

Details The Yang-Mills heat flow on the moduli space of framed bundles on a surface The Yang-Mills heat flow on the moduli space of framed bundles on a surface

2002-11-15

arxiv.org/abs/math/0211231v3

Mathematics

Symplectic Geometry

51 pages. Rewritten and corrected. Title changed from "A Kirwan-Ness stratification for loop groups", in order to make clear t

Scientific paper

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.

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