Melrose-Uhlmann projectors, the metaplectic representation and symplectic cuts

V. Guillemin; E. Lerman

doi:10.4310/jdg/1090351528

Melrose-Uhlmann projectors, the metaplectic representation and symplectic cuts

V. Guillemin, E. Lerman

Mathematics

Research output: Contribution to journal › Article › peer-review

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.

Original language	English (US)
Pages (from-to)	365-396
Number of pages	32
Journal	Journal of Differential Geometry
Volume	61
Issue number	3
DOIs	https://doi.org/10.4310/jdg/1090351528
State	Published - 2002

ASJC Scopus subject areas

Analysis
Algebra and Number Theory
Geometry and Topology

Access to Document

10.4310/jdg/1090351528

Fingerprint Dive into the research topics of 'Melrose-Uhlmann projectors, the metaplectic representation and symplectic cuts'. Together they form a unique fingerprint.

Cite this

@article{de63c891f47c403cbded4f55b2743b4f,

title = "Melrose-Uhlmann projectors, the metaplectic representation and symplectic cuts",

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.",

author = "V. Guillemin and E. Lerman",

year = "2002",

doi = "10.4310/jdg/1090351528",

language = "English (US)",

volume = "61",

pages = "365--396",

journal = "Journal of Differential Geometry",

issn = "0022-040X",

publisher = "International Press of Boston, Inc.",

number = "3",

}

TY - JOUR

T1 - Melrose-Uhlmann projectors, the metaplectic representation and symplectic cuts

AU - Guillemin, V.

AU - Lerman, E.

PY - 2002

Y1 - 2002

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=0038806328&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0038806328&partnerID=8YFLogxK

U2 - 10.4310/jdg/1090351528

DO - 10.4310/jdg/1090351528

M3 - Article

AN - SCOPUS:0038806328

VL - 61

SP - 365

EP - 396

JO - Journal of Differential Geometry

JF - Journal of Differential Geometry

SN - 0022-040X

IS - 3

ER -

Melrose-Uhlmann projectors, the metaplectic representation and symplectic cuts

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Cite this