Cohomology associated to a Poisson structure on Weil bundles

2013/10/09 by Nkou, Vann Borhen, Bossoto, Basile Guy Richard
#17D63 #53D05 #53D17 #58A20 #58A32 #Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1310.2423

Abstract

Let M be a paracompact smooth manifold of dimension n; A a Weil algebra and M^A the Weil bundle associated. We define and describe the notion of \widetilded-Poisson cohomology and of \widetilded^A -Poisson cohomology on M^A.

Related

• Note on Poisson cohomology on Weil bundles
• Prolongation of Poisson 2-form on Weil bundles
• An approach to the tangential Poisson cohomology based on examples in duals of Lie algebras
• Hamiltonian vector fields on Weil bundles
• A note on the duality between Poisson homology and cohomology