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Convexity properties of the moment mapping. II

✍ Scribed by V. Guillemin; S. Sternberg


Publisher
Springer-Verlag
Year
1984
Tongue
English
Weight
603 KB
Volume
77
Category
Article
ISSN
0020-9910

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Convexity Properties of the Moment Mappi
✍ Reyer Sjamaar πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 843 KB

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