Groupoids and the integration of lie algebroids

Victor Nistor

Research output: Contribution to journalArticle

26 Scopus citations

Abstract

We show that a Lie algebroid on a stratified manifold is integrable if, and only if, its restriction to each strata is integrable. These results allow us to construct a large class of algebras of pseudodifferential operators. They are also relevant for the definition of the graph of certain singular foliations of manifolds with corners and the construction of natural algebras of pseudodifferential operators on a given complex algebraic variety.

Original languageEnglish (US)
Pages (from-to)847-868
Number of pages22
JournalJournal of the Mathematical Society of Japan
Volume52
Issue number4
DOIs
StatePublished - Jan 1 2000

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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