Melrose--Uhlmann projectors, the metaplectic representation and symplectic cuts

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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.
26 pages; accepted for publication by J Diff Geom

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