A supergeometric approach to Poisson reduction
Symplectic Geometry
2015-05-19 v2 Differential Geometry
Abstract
This work introduces a unified approach to the reduction of Poisson manifolds using their description by graded symplectic manifolds. This yields a generalization of the classical Poisson reduction by distributions (Marsden-Ratiu reduction). Further it allows one to construct actions of strict Lie 2-groups and to describe the corresponding reductions.
Cite
@article{arxiv.1009.0948,
title = {A supergeometric approach to Poisson reduction},
author = {Alberto S. Cattaneo and Marco Zambon},
journal= {arXiv preprint arXiv:1009.0948},
year = {2015}
}
Comments
40 pages. Final version accepted for publication