Morse theory for hamiltonians
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The most famous and spectacular theorem we shall prove in this chapter is the convexity theorem of Atiyah  and Guillemin-Sternberg  which asserts that the image of a compact symplectic manifold under the moment map of a hamiltonian torus action is a convex polyhedron (see 4.2.1).
KeywordsSymplectic Manifold Homotopy Type Morse Theory Convex Polyhedron Morse Function
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