Delzant's theorem

Classifies Hamiltonian actions of a torus on a symplectic manifold of twice the dimension

In mathematics, a Delzant polytope is a convex polytope in such for each vertex , exactly edges meet at , and these edges form a collection of vectors that form a -basis of . Delzant's theorem, introduced by Thomas Delzant, classifies effective Hamiltonian torus actions on compact connected symplectic manifolds by the image of the associated moment map, which is a Delzant polytope.

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