Melrose--Uhlmann projectors, the metaplectic representation and symplectic cuts
Symplectic Geometry
2007-05-23 v1 Analysis of PDEs
Differential Geometry
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.
Keywords
Cite
@article{arxiv.math/0302150,
title = {Melrose--Uhlmann projectors, the metaplectic representation and symplectic cuts},
author = {V. Guillemin and E. Lerman},
journal= {arXiv preprint arXiv:math/0302150},
year = {2007}
}
Comments
26 pages; accepted for publication by J Diff Geom