Poisson cohomology of a class of log symplectic manifolds

2016/05/12 by Melinda Lanius, Lanius, Melinda
Mathematics · #53D05 #53D17 #Advanced Algebra and Geometry #Differential Geometry (math.DG) #FOS: Mathematics #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #Symplectic Geometry (math.SG)

paper · pdf · doi:10.48550/arxiv.1605.03854

openalex publication_date 2016/05/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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