Open Access
July, 2002 Melrose-Uhlmann Projectors, the Metaplectic Representation and Symplectic Cuts
V. Guillemin, E. Lerman
J. Differential Geom. 61(3): 365-396 (July, 2002). DOI: 10.4310/jdg/1090351528

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.

Citation

Download Citation

V. Guillemin. E. Lerman. "Melrose-Uhlmann Projectors, the Metaplectic Representation and Symplectic Cuts." J. Differential Geom. 61 (3) 365 - 396, July, 2002. https://doi.org/10.4310/jdg/1090351528

Information

Published: July, 2002
First available in Project Euclid: 20 July 2004

zbMATH: 1071.53540
MathSciNet: MR1979365
Digital Object Identifier: 10.4310/jdg/1090351528

Rights: Copyright © 2002 Lehigh University

Vol.61 • No. 3 • July, 2002
Back to Top