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

Mathematics – Symplectic Geometry

Scientific paper

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26 pages; accepted for publication by J Diff Geom

Scientific paper

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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