Poisson Manifolds, Lie Algebroids, Modular Classes: a Survey
Symplectic Geometry
2012-12-05 v3 Mathematical Physics
math.MP
Abstract
After a brief summary of the main properties of Poisson manifolds and Lie algebroids in general, we survey recent work on the modular classes of Poisson and twisted Poisson manifolds, of Lie algebroids with a Poisson or twisted Poisson structure, and of Poisson-Nijenhuis manifolds. A review of the spinor approach to the modular class concludes the paper.
Cite
@article{arxiv.0710.3098,
title = {Poisson Manifolds, Lie Algebroids, Modular Classes: a Survey},
author = {Yvette Kosmann-Schwarzbach},
journal= {arXiv preprint arXiv:0710.3098},
year = {2012}
}
Comments
Dedicated to the memory of Thomas Branson. This is a contribution to the Proceedings of the 2007 Midwest Geometry Conference in honor of Thomas P. Branson, published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/