Skip to main content

De rham theory for bΓ

  • I. Gelfand-Fuks Theory And Characteristic Classes Of Foliations
  • Conference paper
  • First Online:
Differential Topology, Foliations and Gelfand-Fuks Cohomology

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 652))

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Bibliography

  1. I.N. Bernstein and B.I. Rozenfeld, On characteristic classes of foliations, Funk. Anal. i Pril 6 (1972), 68–69.

    MATH  MathSciNet  Google Scholar 

  2. A. Borel, Compact Clifford-Klein forms of symmetric spaces, Topology 2 (1963), 111–122.

    Article  MATH  MathSciNet  Google Scholar 

  3. R. Bott, On the Chern-Weil homomorphism and the continuous cohomology of Lie groups, Advances in Math. 11 (1973), 289–303.

    Article  MATH  MathSciNet  Google Scholar 

  4. R. Bott and A. Haefliger, On characteristic classes of Γ-foliations, Bull. A.M.S. 78 (1972), 1039–1044.

    Article  MATH  MathSciNet  Google Scholar 

  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. H. Cartan, Notions d'algèbre différentielle, etc..., Colloque de Topologie, Bruxelles (1950), 15–27 and 57–71.

    Google Scholar 

  7. W. Greub, S. Halperin and R. Van Stone, Connections, Curvature and Cohomology, Vol. III, Acad. Press 1976.

    Google Scholar 

  8. A. Haefliger, Sur les classes caractéristiques des feuilletages, Sém. Bourbaki 1971/72, # 412, Springer Lecture Notes in Math., 317 (1973).

    Google Scholar 

  9. J. Heitsch, Deformations of secondary characteristic classes, Topology 12 (1973), 381–388.

    Article  MATH  MathSciNet  Google Scholar 

  10. F. Kamber and P. Tondeur, Characteristic invariants of foliated bundles, Manuscripta Mathematica 11 (1974), 51–89.

    Article  MATH  MathSciNet  Google Scholar 

  11. 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. F. Kamber and P. Tondeur, Foliated Bundles and Characteristic Classes, Springer Lecture Notes in Math., no 493 (1975).

    Google Scholar 

  13. S. Morita, A remark on the continuous variation of secondary characteristic classes for foliations, I.A.S. preprint.

    Google Scholar 

  14. W. Thurston, Variations of the Godbillon-Vey invariant in higher codimensions, to appear.

    Google Scholar 

  15. Van Est, Une application d'une méthode de Cartan-Leray, Indag. Math. 17 (1955), 542–4.

    Google Scholar 

  16. 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 

Download references

Authors

Editor information

Paul A. Schweitzer (s.j.)

Rights and permissions

Reprints and permissions

Copyright information

© 1978 Springer-Verlag

About this paper

Cite this paper

Shulman, H., Stasheff, J. (1978). De rham theory for bΓ. In: Schweitzer, P.A. (eds) Differential Topology, Foliations and Gelfand-Fuks Cohomology. Lecture Notes in Mathematics, vol 652. Springer, Berlin, Heidelberg . https://doi.org/10.1007/BFb0063502

Download citation

  • DOI: https://doi.org/10.1007/BFb0063502

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-07868-5

  • Online ISBN: 978-3-540-38074-0

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics