Mackenzie theory and Q-manifolds

Abstract

We give a simple characterization of Mackenzie's double Lie algebroids in terms of homological vector fields. Application to the `Drinfeld double' of Lie bialgebroids is given and an extension to the multiple case is suggested.

LaTeX, 30 pages. Second version: some editing aimed at clarifying the exposition

References in corpus (4)

• Courant algebroids, derived brackets and even symplectic supermanifolds
• Supergroupoids, double structures, and equivariant cohomology
• Double Lie algebroids and the double of a Lie bialgebroid
• Double Lie algebroids and second-order geometry, II

Cited by in corpus (10)

• Higher vector bundles and multi-graded symplectic manifolds
• Graded contact manifolds and contact Courant algebroids
• $Q$-manifolds and Higher Analogs of Lie Algebroids
• Quasi-Hamiltonian groupoids and multiplicative Manin pairs
• Q-groupoids and their cohomology
• LA-Courant algebroids and their applications
• A supergeometric approach to Poisson reduction
• Characteristic classes associated to Q-bundles
• Q-manifolds and Mackenzie theory: an overview
• Tulczyjew triples and higher Poisson/Schouten structures on Lie algebroids