Journal of Differential Geometry

Melrose-Uhlmann Projectors, the Metaplectic Representation and Symplectic Cuts

V. Guillemin and 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.

Article information

Source
J. Differential Geom., Volume 61, Number 3 (2002), 365-396.

Dates
First available in Project Euclid: 20 July 2004

Permanent link to this document
https://projecteuclid.org/euclid.jdg/1090351528

Digital Object Identifier
doi:10.4310/jdg/1090351528

Mathematical Reviews number (MathSciNet)
MR1979365

Zentralblatt MATH identifier
1071.53540

Citation

Guillemin, V.; Lerman, E. Melrose-Uhlmann Projectors, the Metaplectic Representation and Symplectic Cuts. J. Differential Geom. 61 (2002), no. 3, 365--396. doi:10.4310/jdg/1090351528. https://projecteuclid.org/euclid.jdg/1090351528


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