On the Chern-Weil homomorphism and the continuous cohomology of Lie- groups
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Publication:1393752
DOI10.1016/0001-8708(73)90012-1zbMath0276.55011OpenAlexW2158564656WikidataQ56032171 ScholiaQ56032171MaRDI QIDQ1393752
Publication date: 1973
Published in: Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0001-8708(73)90012-1
Homology of classifying spaces and characteristic classes in algebraic topology (55R40) Homology and cohomology of homogeneous spaces of Lie groups (57T15)
Related Items (32)
The Chern character in the simplicial de Rham complex ⋮ Cyclic cohomology of etale groupoids ⋮ Equivariant cohomology over Lie groupoids and Lie-Rinehart algebras ⋮ Group cohomology construction of the cohomology of moduli spaces of flat connections on 2-manifolds ⋮ Variations, Characteristic Classes, and the Obstruction to Mapping Smooth to Continuous Cohomology ⋮ Hodge theory of classifying stacks ⋮ Equivariant cohomologies and Kähler geometry ⋮ Group systems, groupoids, and moduli spaces of parabolic bundles ⋮ Symplectic and Poisson structures of certain moduli spaces. I ⋮ Chern-Weil map for principal bundles over groupoids ⋮ Ringel duality and derivatives of non-additive functors ⋮ Construct holomorphic invariants in Čech cohomology by a combinatorial formula ⋮ The generalized Chern conjecture for manifolds that are locally a product of surfaces ⋮ Representations up to homotopy and Bott's spectral sequence for Lie groupoids ⋮ Non-trivial characteristic invariants of homogeneous foliated bundles ⋮ Equivariant cohomology for differentiable stacks ⋮ Cyclic-homology Chern-Weil theory for families of principal coactions ⋮ The Weil algebra and the Van Est isomorphism ⋮ Chern-Simons, Wess-Zumino and other cocycles from Kashiwara-Vergne and associators ⋮ Lectures on \(2\)D Yang-Mills theory, equivariant cohomology and topological field theories ⋮ Sur un théorème d'intégralité de B. Kostant ⋮ Cohomologies of the Lie algebra of formal vector fields with coefficients in its adjoint space and variations of characteristic classes of foliations ⋮ Multiplicative bundle gerbes with connection ⋮ PL-foliations. II ⋮ Classifying space of a topological group in the Gel'fand-Fuks sense ⋮ On the de Rham theory of certain classifying spaces ⋮ Semi-simplicial Weil algebras and characteristic classes ⋮ Continuous cohomology of groups and classifying spaces ⋮ 𝐺-foliations and their characteristic classes ⋮ The ring structure for equivariant twisted K-theory ⋮ Comparison of the geometric bar and \(W\)-constructions ⋮ A method of computing characteristic classes of vector bundles
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