Poisson cohomology of a class of log symplectic manifolds

Abstract

We compute the Poisson cohomology of a class of Poisson manifolds that are symplectic away from a collection $D$ of hypersurfaces. These Poisson structures induce a generalization of symplectic and cosymplectic structures, which we call a k-cosymplectic structure, on the intersection of hypersurfaces in $D$.

References in corpus (1)

• A survey on cosymplectic geometry

Cited by in corpus (3)

• Poisson structures of divisor-type
• The Poisson cohomology of ${\mathfrak{sl}}_2^{\ast }(\mathbb{R})$
• Bigraded cochain complexes and Poisson cohomology