Jacobi algebroids and quasi Q-manifolds

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.

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

References in corpus (4)

• $Q$-manifolds and Higher Analogs of Lie Algebroids
• Linear almost Poisson structures and Hamilton-Jacobi equation. Applications to nonholonomic Mechanics
• Differential graded contact geometry and Jacobi structures
• Odd Jacobi structures and classical BV-gauge systems

Cited by in corpus (2)

• Graded contact manifolds and contact Courant algebroids
• Differential graded contact geometry and Jacobi structures