$Q$-manifolds and Higher Analogs of Lie Algebroids
Differential Geometry
2011-01-24 v1 High Energy Physics - Theory
Mathematical Physics
math.MP
Abstract
We show how the relation between -manifolds and Lie algebroids extends to ``higher'' or ``non-linear'' analogs of Lie algebroids. We study the identities satisfied by a new algebraic structure that arises as a replacement of operations on sections of a Lie algebroid. When the base is a point, we obtain a generalization of Lie superalgebras.
Keywords
Cite
@article{arxiv.1010.2503,
title = {$Q$-manifolds and Higher Analogs of Lie Algebroids},
author = {Theodore Th. Voronov},
journal= {arXiv preprint arXiv:1010.2503},
year = {2011}
}
Comments
12 pages. LaTeX2e