Gradient flow of the norm squared of a moment map

Details Gradient flow of the norm squared of a moment map Gradient flow of the norm squared of a moment map

2004-10-27

arxiv.org/abs/math/0410568v2

Enseign. Math. (2) 51 (2005), no. 1-2, 117--127

Mathematics

Symplectic Geometry

6 pages, expository. (v2) exposition changed following referee's suggestions. To appear in l'Enseignement Math'ematique

Scientific paper

We present a proof due to Duistermaat that the gradient flow of the norm
squared of the moment map defines a deformation retract of the appropriate
piece of the manifold onto the zero level set of the moment map. Duistermaat's
proof is an adaptation of Lojasiewicz's argument for analytic functions to
functions which are locally analytic.

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