Poisson cohomology of plane Poisson structures with isolated singularities revisited

DOI10.1063/5.0014574OpenAlexW3136855298MaRDI QIDQ5141125

Zihao Qi, Guodong Zhou

Publication date: 17 December 2020

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2103.13049

zbMATH Keywords

simple singularityPoisson cohomologyGerstenhaber algebras isomorphismPoisson plane structure

Mathematics Subject Classification ID

Poisson manifolds; Poisson groupoids and algebroids (53D17) Poisson algebras (17B63) Cohomology of Lie (super)algebras (17B56)

Cites Work

• Singularities of differentiable maps, Volume 1. Classification of critical points, caustics and wave fronts. Transl. from the Russian by Ian Porteous, edited by V. I. Arnol'd
• Algebraic geometry and analytic geometry
• Poisson structures on the plane and other powers of volume forms
• On quadratic Poisson structures
• Poisson cohomology of regular Poisson manifolds
• Les variétés de Poisson et leurs algèbres de Lie associees
• Lie-Rinehart algebras, Gerstenhaber algebras and Batalin-Vilkovisky algebras
• Gerstenhaber algebras and BV-algebras in Poisson geometry
• Lectures on the geometry of Poisson manifolds
• Poisson cohomology of plane quadratic Poisson structures
• Poisson cohomology in dimension two
• Poisson cohomology of the affine plane
• Poisson cohomology and quantization.
• Lie-Poisson Structure on Some Poisson Lie Groups
• Duality for Lie-Rinehart algebras and the modular class

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