Odd Jacobi manifolds: general theory and applications to generalised Lie algebroids
arXiv:1206.6615
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.
arXiv comment35 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
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