Melrose-Uhlmann Projectors, the Metaplectic Representation and Symplectic Cuts

Melrose-Uhlmann Projectors, the Metaplectic Representation and Symplectic Cuts

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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Veröffentlicht in:Journal of differential geometry 2002-07, Vol.61 (3), p.365-396
Hauptverfasser: Guillemin, V., Lerman, E.
Format: Artikel
Sprache:eng
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Zusammenfassung: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.
ISSN:0022-040X
1945-743X
DOI:10.4310/jdg/1090351528