Lie algebroids, holonomy and characteristic classes

Research output: Contribution to journalArticlepeer-review

Abstract

We extend the notion of connection in order to study singular geometric structures, namely, we consider a notion of connection on a Lie algebroid which is a natural extension of the usual concept of a covariant connection. It allows us to define holonomy of the orbit foliation of a Lie algebroid and prove a Stability Theorem. We also introduce secondary or exotic characteristics classes, thus providing invariants which generalize the modular class of a Lie algebroid.

Original languageEnglish (US)
Pages (from-to)119-179
Number of pages61
JournalAdvances in Mathematics
Volume170
Issue number1
DOIs
StatePublished - Sep 1 2002
Externally publishedYes

Keywords

  • Characteristic classes
  • Connection
  • Holonomy
  • Lie algebroid

ASJC Scopus subject areas

  • Mathematics(all)

Fingerprint Dive into the research topics of 'Lie algebroids, holonomy and characteristic classes'. Together they form a unique fingerprint.

Cite this