The modular class of a twisted Poisson structure

Abstract

We study the geometric and algebraic properties of the twisted Poisson structures on Lie algebroids, leading to a definition of their modular class and to an explicit determination of a representative of the modular class, in particular in the case of a twisted Poisson manifold.

one reference added, new Section 6.4, orientability assumption deleted, misprints corrected

References in corpus (3)

• Derived brackets
• Nonassociative Star Product Deformations for D-brane Worldvolumes in Curved Backgrounds
• WZW-Poisson manifolds

Cited by in corpus (10)

• Poisson Manifolds, Lie Algebroids, Modular Classes: a Survey
• Pre-Courant Algebroids
• Pure Spinors on Lie groups
• Modular classes of regular twisted Poisson structures on Lie algebroids
• On the geometric quantization of twisted Poisson manifolds
• On quasi-Jacobi and Jacobi-quasi bialgebroids
• Modular classes of Lie algebroid morphisms
• Notes on Geometric Morita equivalence of twisted Poisson manifolds
• Compatible $E$-Differential Forms on Lie Algebroids over (Pre-)Multisymplectic Manifolds
• Relative modular classes of Lie algebroids