EQUIVARIANT POISSON COHOMOLOGY AND A SPECTRAL SEQUENCE ASSOCIATED WITH A MOMENT MAP

DOI10.1142/S0129167X99000422zbMath1061.53059arXivdg-ga/9611002OpenAlexW2015560163MaRDI QIDQ2728484

Viktor L. Ginzburg

Publication date: 1 August 2001

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/dg-ga/9611002

Mathematics Subject Classification ID

Equivariant homology and cohomology in algebraic topology (55N91) Poisson manifolds; Poisson groupoids and algebroids (53D17) Momentum maps; symplectic reduction (53D20) Cohomology of Lie (super)algebras (17B56) Spectral sequences and homology of fiber spaces in algebraic topology (55R20)

Related Items (11)

On a general approach to the formal cohomology of quadratic Poisson structures ⋮ Equivariant cohomology and localization for Lie algebroids ⋮ On Dirac structures admitting a variational approach ⋮ Connections on Lie algebroids and on derivation-based noncommutative geometry ⋮ The gauging of BV algebras ⋮ The modular class of a Poisson map ⋮ The method of averaging for Poisson connections on foliations and its applications ⋮ Formal Poisson cohomology of twisted \(r\)-matrix induced structures ⋮ Extensions of Lie brackets ⋮ \(K\)-theory of affine actions ⋮ Poisson cohomology in dimension two

Cites Work

• Unnamed Item
• Poisson homogeneous spaces and Lie algebroids associated to Poisson actions
• Poisson manifolds and the Schouten bracket
• Poisson Lie groups, dressing transformations, and Bruhat decompositions
• Some remarks on symplectic actions of compact groups
• Poisson cohomology of regular Poisson manifolds
• Calculus on Poisson Manifolds
• MOMENTUM MAPPINGS AND POISSON COHOMOLOGY

This page was built for publication: EQUIVARIANT POISSON COHOMOLOGY AND A SPECTRAL SEQUENCE ASSOCIATED WITH A MOMENT MAP