On the Van Est homomorphism for Lie groupoids

DOI10.4171/LEM/61-1/2-5zbMath1337.55017arXiv1403.1191OpenAlexW2963994074MaRDI QIDQ5963021

David Li-Bland, Eckhard Meinrenken

Publication date: 25 February 2016

Published in: L'Enseignement Mathématique. 2e Série (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1403.1191

zbMATH Keywords

classifying spacesLie algebroidsLie groupoidsequivariant cohomologysymplectic groupoids

Mathematics Subject Classification ID

Characteristic classes and numbers in differential topology (57R20) Poisson manifolds; Poisson groupoids and algebroids (53D17) Cohomology of classifying spaces for pseudogroup structures (Spencer, Gelfand-Fuks, etc.) (58H10) Topological groupoids (including differentiable and Lie groupoids) (22A22) Homology of classifying spaces and characteristic classes in algebraic topology (55R40)

Related Items (8)

Local formulas for multiplicative forms ⋮ Cohomologies of difference Lie groups and the van Est theorem ⋮ Hamiltonian Lie algebroids ⋮ Lie theory and cohomology of relative Rota–Baxter operators ⋮ Van Est isomorphism for homogeneous cochains ⋮ Representations up to homotopy from weighted Lie algebroids ⋮ On local integration of Lie brackets ⋮ Van Est differentiation and integration

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