Lie Algebroids, Holonomy and Characteristic Classes

✍ Scribed by Rui Loja Fernandes

• Publisher: Elsevier Science
• Year: 2002
• Tongue: English
• Weight: 438 KB
• Volume: 170
• Category: Article
• ISSN: 0001-8708
• DOI: 10.1006/aima.2001.2070

✦ Synopsis

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 characteristic classes, thus providing invariants which generalize the modular class of a Lie algebroid. # 2002 Elsevier Science (USA)