Melrose--Uhlmann projectors, the metaplectic representation and symplectic cuts
V. Guillemin, E. Lerman
Abstract
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 pseudodifferential operators to such cones and describe the symbolic properties of the algebras.
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