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Convexity properties of generalized moment maps

✍ Scribed by NITTA, Yasufumi


Book ID
121844929
Publisher
The Mathematical Society of Japan
Year
2009
Tongue
German
Weight
263 KB
Volume
61
Category
Article
ISSN
0025-5645

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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