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Kählerian potentials and convexity properties of the moment map

✍ Scribed by Peter Heinzner; Alan Huckleberry


Publisher
Springer-Verlag
Year
1996
Tongue
English
Weight
311 KB
Volume
126
Category
Article
ISSN
0020-9910

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Consider a Hamiltonian action of a compact Lie group on a compact symplectic manifold. A theorem of Kirwan's says that the image of the momentum mapping intersects the positive Weyl chamber in a convex polytope. I present a new proof of Kirwan's theorem, which gives explicit information on how the v