English

Jacobi algebroids and quasi Q-manifolds

Mathematical Physics 2011-12-06 v3 Differential Geometry math.MP Symplectic Geometry

Abstract

We reformulate the notion of a Jacobi algebroid in terms of weighted odd Jacobi brackets. We then show how a Jacobi algebroid can be understood in terms of a kind of curved Q-manifold. In particular the homological condition on the odd vector field is deformed in a very specific way. This leads to the notion of a quasi Q-manifold.

Keywords

Cite

@article{arxiv.1111.4044,
  title  = {Jacobi algebroids and quasi Q-manifolds},
  author = {Andrew James Bruce},
  journal= {arXiv preprint arXiv:1111.4044},
  year   = {2011}
}

Comments

14 pages. No major revision, further extra clarifying comments. Further comments and suggestions are very much welcomed