# Non-Compact Symplectic Toric Manifolds

@article{Karshon2009NonCompactST,
title={Non-Compact Symplectic Toric Manifolds},
author={Yael Karshon and Eugene Lerman},
journal={Symmetry Integrability and Geometry-methods and Applications},
year={2009},
volume={11},
pages={055}
}
• Published 16 July 2009
• Mathematics
• Symmetry Integrability and Geometry-methods and Applications
A key result in equivariant symplectic geometry is Delzant's classification of compact connected symplectic toric manifolds. The moment map induces an embedding of the quotient of the manifold by the torus action into the dual of the Lie algebra of the torus; its image is a unimodular ("Delzant") polytope; this gives a bijection between unimodular polytopes and isomorphism classes of compact connected symplectic toric manifolds. In this paper we extend Delzant's classification to non-compact… Expand

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