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math.SG2005
Toric symplectic singular spaces I: isolated singularities
D. Burns, V. Guillemin, E. Lerman
We generalize a theorem of Delzant classifying compact connected symplectic manifolds with completely integrable torus actions to certain singular symplectic spaces. The assumption…
math.SG2003
Melrose--Uhlmann projectors, the metaplectic representation and symplectic cuts
V. Guillemin, E. Lerman
By applying the symplectic cutting operation to cotangent bundles, one can construct a large number of interesting symplectic cones. In this paper we show how to attach algebras of…