Connectivity and Convexity Properties of the Momentum Map for Group Actions on Hilbert Manifolds
In the early 1980s a landmark result was obtained by Atiyah and independently Guillemin and Sternberg: the image of the momentum map for a torus action on a compact symplectic manifold is a convex polyhedron. Atiyah's proof makes use of the fact that level sets of the momentum map are connect...
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| Language: | en_ca |
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2013
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| Online Access: | http://hdl.handle.net/1807/43721 |