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Fields Institute Communications Volume 00, 0000
 

Summary: Fields Institute Communications
Volume 00, 0000
K¨ahler geometry of toric manifolds in symplectic coordinates
Miguel Abreu
Departamento de Matem´atica
Instituto Superior T´ecnico
1049-001 Lisboa, Portugal
mabreu@math.ist.utl.pt
Abstract. A theorem of Delzant states that any symplectic manifold
(M, ) of dimension 2n, equipped with an effective Hamiltonian action
of the standard n-torus n
= n
/2n
, is a smooth projective toric va-
riety completely determined (as a Hamiltonian n
-space) by the image
of the moment map : M n
, a convex polytope P = (M) n
.
In this paper we show, using symplectic (action-angle) coordinates on

  

Source: Abreu, Miguel - Departamento de Matemática, Instituto Superior Técnico, Universidade Técnica de Lisboa

 

Collections: Mathematics