The modular class of a twisted Poisson structure

2005/05/30 by Yvette Kosmann-Schwarzbach, Kosmann-Schwarzbach, Yvette, Camille Laurent-Gengoux +1
Mathematics · Physics and Astronomy · #17B62 #17B99 #22E99 #53D17 #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Symplectic Geometry (math.SG) #math-ph #math.MP #math.SG #msc:17B62 #msc:17B99 #msc:22E99 #msc:53D17

paper · pdf · doi:10.48550/arxiv.math/0505663

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

arxiv created 2005/08/30 · arxiv updated 2009/12/01

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.

Related

• Relative modular classes of Lie algebroids
• The modular class of a Poisson map
• Nambu structures on Lie algebroids and their modular classes
• Quasi-Lie bialgebroids and twisted Poisson manifolds
• Twisted Poincaré duality for orientable Poisson manifolds