Melrose-Uhlmann Projectors, the Metaplectic Representation and Symplectic Cuts

Guillemin, V.; Lerman, E.

J. Differential Geom., Tome 60 (2002) no. 1, p. 365-396 / Harvested from Project Euclid

Résumé

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.

Publié le : 2002-07-14
Classification:

@article{1090351528,
     author = {Guillemin, V. and Lerman, E.},
     title = {Melrose-Uhlmann Projectors, the Metaplectic Representation and Symplectic Cuts},
     journal = {J. Differential Geom.},
     volume = {60},
     number = {1},
     year = {2002},
     pages = { 365-396},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1090351528}
}

Guillemin, V.; Lerman, E. Melrose-Uhlmann Projectors, the Metaplectic Representation and Symplectic Cuts. J. Differential Geom., Tome 60 (2002) no. 1, pp.  365-396. http://gdmltest.u-ga.fr/item/1090351528/