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The Guillemin formula and Kähler metrics on toric symplectic manifolds

The Guillemin formula and Kähler metrics on toric symplectic manifolds

We discuss the construction of toric Kahler metrics on symplectic 2n-manifolds with hamiltonian n-torus action and present a simple derivation of the Guillemin formula for a distinguished Kahler metric on any such manifold. the results also apply to orbifolds.