Lie Algebroids, Holonomy and Characteristic Classes
Differential Geometry
2007-05-23 v2 Symplectic Geometry
Abstract
We extend the notion of connection in order to be able 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 connection. Using connections, we are able to define holonomy of the orbit foliation of a Lie algebroid and prove a stability theorem. We also introduce secondary or exotic characteristic classes that generalize the modular class of a Lie algebroid.
Cite
@article{arxiv.math/0007132,
title = {Lie Algebroids, Holonomy and Characteristic Classes},
author = {Rui Loja Fernandes},
journal= {arXiv preprint arXiv:math/0007132},
year = {2007}
}
Comments
Several typos corrected. References added. Final version for publication