The outer derivation of a complex Poisson manifold
Differential Geometry
2007-05-23 v1
Abstract
We introduce a canonical outer vector field on a Poisson manifold, also due independently to A. Weinstein. We view it as a global section of the sheaf of Poisson vector fields modulo the subsheaf of hamiltonian vector fields. We study this outer derivation mostly in the case of holomorphic Poisson manifolds.
Keywords
Cite
@article{arxiv.math/9802014,
title = {The outer derivation of a complex Poisson manifold},
author = {Jean-Luc Brylinski and Gregg Zuckerman},
journal= {arXiv preprint arXiv:math/9802014},
year = {2007}
}
Comments
plain tex, 9 pages