De rham theory for bΓ

  • Herbert Shulman
  • James Stasheff
I. Gelfand-Fuks Theory And Characteristic Classes Of Foliations
Part of the Lecture Notes in Mathematics book series (LNM, volume 652)


Spectral Sequence Characteristic Classis Springer Lecture Note Differential Algebra Double Complex 
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  1. [1]
    I.N. Bernstein and B.I. Rozenfeld, On characteristic classes of foliations, Funk. Anal. i Pril 6 (1972), 68–69.zbMATHMathSciNetGoogle Scholar
  2. [2]
    A. Borel, Compact Clifford-Klein forms of symmetric spaces, Topology 2 (1963), 111–122.zbMATHMathSciNetCrossRefGoogle Scholar
  3. [3]
    R. Bott, On the Chern-Weil homomorphism and the continuous cohomology of Lie groups, Advances in Math. 11 (1973), 289–303.zbMATHMathSciNetCrossRefGoogle Scholar
  4. [4]
    R. Bott and A. Haefliger, On characteristic classes of Γ-foliations, Bull. A.M.S. 78 (1972), 1039–1044.zbMATHMathSciNetCrossRefGoogle Scholar
  5. [5]
    R. Bott, H. Shulman and J. Stasheff, On the de Rham theory of classifying spaces, to appear in Advances in Math.Google Scholar
  6. [6]
    H. Cartan, Notions d'algèbre différentielle, etc..., Colloque de Topologie, Bruxelles (1950), 15–27 and 57–71.Google Scholar
  7. [7]
    W. Greub, S. Halperin and R. Van Stone, Connections, Curvature and Cohomology, Vol. III, Acad. Press 1976.Google Scholar
  8. [8]
    A. Haefliger, Sur les classes caractéristiques des feuilletages, Sém. Bourbaki 1971/72, # 412, Springer Lecture Notes in Math., 317 (1973).Google Scholar
  9. [9]
    J. Heitsch, Deformations of secondary characteristic classes, Topology 12 (1973), 381–388.zbMATHMathSciNetCrossRefGoogle Scholar
  10. [10a]
    F. Kamber and P. Tondeur, Characteristic invariants of foliated bundles, Manuscripta Mathematica 11 (1974), 51–89.zbMATHMathSciNetCrossRefGoogle Scholar
  11. [10b]
    F. Kamber and P. Tondeur, Semi-simplicial Weil algebras and characteristic classes for foliated bundles in Cech cohomology, Proc. Symposia Pure Math., Vol. 27, 283–294.Google Scholar
  12. [10c]
    F. Kamber and P. Tondeur, Foliated Bundles and Characteristic Classes, Springer Lecture Notes in Math., no 493 (1975).Google Scholar
  13. [11]
    S. Morita, A remark on the continuous variation of secondary characteristic classes for foliations, I.A.S. preprint.Google Scholar
  14. [12]
    W. Thurston, Variations of the Godbillon-Vey invariant in higher codimensions, to appear.Google Scholar
  15. [13]
    Van Est, Une application d'une méthode de Cartan-Leray, Indag. Math. 17 (1955), 542–4.Google Scholar
  16. [14]
    C. Godbillon, Cohomologies d'algèbres de Lie de champs de vecteurs formels, Séminaire Bourbaki 1972/73, exposé 421, Springer Lecture Notes in Math., no 383 (1974).Google Scholar

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© Springer-Verlag 1978

Authors and Affiliations

  • Herbert Shulman
  • James Stasheff

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