English

Homology and modular classes of Lie algebroids

Differential Geometry 2008-11-26 v4 Symplectic Geometry

Abstract

For a Lie algebroid, divergences chosen in a classical way lead to a uniquely defined homology theory. They define also, in a natural way, modular classes of certain Lie algebroid morphisms. This approach, applied for the anchor map, recovers the concept of modular class due to S. Evans, J.-H. Lu, and A. Weinstein.

Cite

@article{arxiv.math/0310072,
  title  = {Homology and modular classes of Lie algebroids},
  author = {Janusz Grabowski and Giuseppe Marmo and Peter W. Michor},
  journal= {arXiv preprint arXiv:math/0310072},
  year   = {2008}
}

Comments

11 pages, AmSLaTeX, 3 typos corrected