Poisson geometry and Morita equivalence
Symplectic Geometry
2007-05-23 v2 Differential Geometry
Abstract
These notes discuss various aspect of the ``representation theory'' of Poisson manifolds, with focus on Morita equivalence and Picard groups. We give a brief introduction to Poisson geometry (including Dirac and twisted Poisson structures) and algebraic Morita theory before presenting the geometric Morita theory of Poisson manifolds. We also point out the connections with the theory of symplectic groupoids and hamiltonian actions.
Cite
@article{arxiv.math/0402347,
title = {Poisson geometry and Morita equivalence},
author = {Henrique Bursztyn and Alan Weinstein},
journal= {arXiv preprint arXiv:math/0402347},
year = {2007}
}
Comments
52 pages. Expanded notes from the mini-course taught by A. Weinstein at the PQR 2003 Euroschool in Brussels. Revised version, to appear in the London Math.Society Lecture Notes series