A classification of star log symplectic structures on a compact oriented surface

DOI10.4310/JSG.2019.V17.N6.A6zbMATH Open1477.53103arXiv1705.01793WikidataQ126337891 ScholiaQ126337891MaRDI QIDQ2287432

Melinda Lanius

Publication date: 20 January 2020

Published in: The Journal of Symplectic Geometry (Search for Journal in Brave)

Abstract: Given a compact oriented surface, we classify log Poisson bi-vectors whose degeneracy loci are locally modeled by a finite set of lines in the plane intersecting at a point. Further, we compute the Poisson cohomology of such structures and discuss the relationship between our classification and the second Poisson cohomology.

Full work available at URL: https://arxiv.org/abs/1705.01793

zbMATH Keywords

Lie algebroidPoisson cohomologyb-tangent bundlelog symplectic Poisson surfacePoisson bi-vectorstar divisor

Mathematics Subject Classification ID

Poisson manifolds; Poisson groupoids and algebroids (53D17)

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