Melrose-Uhlmann projectors, the metaplectic representation and symplectic cuts

V. Guillemin, E. Lerman

Research output: Contribution to journalArticle

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 languageEnglish (US)
Pages (from-to)365-396
Number of pages32
JournalJournal of Differential Geometry
Volume61
Issue number3
DOIs
StatePublished - Jan 1 2002

ASJC Scopus subject areas

  • Analysis
  • Algebra and Number Theory
  • Geometry and Topology

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

  • Cite this