The Guillemin formula and Kaehler metrics on toric symplectic manifolds

Details The Guillemin formula and Kaehler metrics on toric symplectic manifolds The Guillemin formula and Kaehler metrics on toric symplectic manifolds

2003-10-16

arxiv.org/abs/math/0310243v1

J. Symp. Geom. 1 (2003) 767-784

Mathematics

Differential Geometry

12 pages

Scientific paper

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

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