From $L_{\infty}$-algebroids to higher Schouten/Poisson structures
Mathematical Physics
2011-09-13 v3 Algebraic Geometry
Differential Geometry
math.MP
Quantum Algebra
Abstract
We show that -algebroids, understood in terms of Q-manifolds can be described in terms of certain higher Schouten and Poisson structures on graded (super)manifolds. This generalises known constructions for Lie (super)algebras and Lie algebroids.
Cite
@article{arxiv.1007.1389,
title = {From $L_{\infty}$-algebroids to higher Schouten/Poisson structures},
author = {Andrew James Bruce},
journal= {arXiv preprint arXiv:1007.1389},
year = {2011}
}
Comments
23 pages. Paper reorganised, typos corrected, various improvements made and extra references added. To appear in Reports on Mathematical Physics