Odd Jacobi manifolds: general theory and applications to generalised Lie algebroids
Mathematical Physics
2012-06-29 v1 Differential Geometry
math.MP
Symplectic Geometry
Abstract
In this paper we define a Grassmann odd analogue of Jacobi structure on a supermanifold. The basic properties are explored. The construction of odd Jacobi manifolds is then used to reexamine the notion of a Jacobi algebroid. It is shown that Jacobi algebroids can be understood in terms of a kind of curved Q-manifold, which we will refer to as a quasi Q-manifold.
Keywords
Cite
@article{arxiv.1206.6615,
title = {Odd Jacobi manifolds: general theory and applications to generalised Lie algebroids},
author = {Andrew James Bruce},
journal= {arXiv preprint arXiv:1206.6615},
year = {2012}
}
Comments
35 pages. This preprint is an amalgamation of the earlier preprints arXiv:111.4044, arXiv:1103.1803 and arXiv:1101.1844. A version of this work appears in Extracta Mathematicae