Nondegenerate cohomology pairing for transitive Lie algebroids, characterization

DOI10.2478/BF02475971zbMath1116.58017OpenAlexW2037494186MaRDI QIDQ867337

A. S. Mishchenko, Jan Kubarski

Publication date: 15 February 2007

Published in: Central European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/bf02475971

zbMATH Keywords

spectral sequencecohomology of Lie algebrasLie algebroidPoincaré dualitycohomology pairing

Mathematics Subject Classification ID

Spectral sequences, hypercohomology (18G40) Cohomology of Lie (super)algebras (17B56) Pseudogroups and differentiable groupoids (58H05) Topology of vector bundles and fiber bundles (57R22) Algebraic topology on manifolds and differential topology (57R19) Spectral sequences and homology of fiber spaces in algebraic topology (55R20)

Related Items

Morita invariance of intrinsic characteristic classes of Lie algebroids ⋮ Algebraic aspects of the Hirzebruch signature operator and applications to transitive Lie algebroids

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Géométrie des algèbres de Lie locales de Kirillov
• The modular automorphism group of a Poisson manifold
• Differentiable and algebroid cohomology, Van Est isomorphisms, and characteristic classes
• Poincaré duality for transitive unimodular invariantly oriented Lie algebroids
• Lie algebroids, holonomy and characteristic classes
• Transitive Lie algebroids of rank 1 and locally conformal symplectic structures.
• Cohomology of Lie algebras
• On the Index of a Fibered Manifold
• Duality for Lie-Rinehart algebras and the modular class
• Lie algebroids: spectral sequences and signature
• Transverse measures, the modular class and a cohomology pairing for Lie algebroids
• Reduction for locally conformal symplectic manifolds