2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/66517By 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 GeomSymplectic GeometryAnalysis of PDEsDifferential GeometryMelrose--Uhlmann projectors, the metaplectic representation and symplectic cutstext