Skip to main content

Un faux espace projectif réel de dimension 4 [d'après Sylvain E. Cappell et Julius L. Shaneson]

  • Conference paper
  • First Online:
Séminaire Bourbaki vol. 1978/79 Exposés 525 – 542

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 770))

  • 188 Accesses

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.

Bibliographie

  1. J. F. ADAMS-Stable Homotopy Theory, Lecture Notes in Math. no 3, Springer-Verlag, 1969.

    Google Scholar 

  2. S. AKBULUT and R. KIRBY-An exotic free involution of S4, à paraître.

    Google Scholar 

  3. W. BROWDER-Surgery on simply connected manifolds, Academic Press, 1971.

    Google Scholar 

  4. E. H. BROWN-Generalization of Kervaire invariant, Ann. of Math., 95 (1972), 368–383.

    Article  MATH  MathSciNet  Google Scholar 

  5. S. E. CAPPELL and J. L. SHANESON-On 4 dimensional surgery and applications, Com. Math. Helv., 46 (1971), 500–528.

    MATH  MathSciNet  Google Scholar 

  6. S. E. CAPPELL and J. L. SHANESON-Some new four manifolds, Ann. of Math., 104 (1976), 61–72.

    Article  MATH  MathSciNet  Google Scholar 

  7. J. CERF-Sur les difféomorphismes de la sphère de dimension 3 (Γ4=0), Lecture Notes in Math. no 53, Springer-Verlag, 1968.

    Google Scholar 

  8. L. GUILLOU et A. MARIN-Une extension du théorème de Rohlin sur la signature, C. R. Acad. Sci. Paris, t. 285 (1977), Série A, 95–98.

    MATH  MathSciNet  Google Scholar 

  9. M. KERVAIRE and J. MILNOR-Bernoulli numbers, homotopy groups, and a theorem of Rohlin, Proc. I. C. M. Edimborough (1958), 454–458.

    Google Scholar 

  10. R. KIRBY and L. SIEBENMANN-Foundational essays on topological manifolds, smoothing, and triangulations, Ann. of Math. Studies, no 88, Princeton University Press.

    Google Scholar 

  11. R. LASHOF and M. ROTHENBERG-Microbundles and smoothing, Topology 3 (1965), 357–388.

    Article  MATH  MathSciNet  Google Scholar 

  12. F. LATOUR-Chirurgie non simplement connexe (d'après C. T. C. Wall), Séminaire Bourbaki, Exposé 397, Juin 1971, Lecture Notes in Math. no 244, p. 289–322, Springer-Verlag, 1971.

    Google Scholar 

  13. F. LAUDENBACH and V. POENARU-A note on 4-dimensional handelbodies, Bull. Soc. Math. France, 100 (1972), 337–344.

    MATH  MathSciNet  Google Scholar 

  14. Y. MATSUMOTO-An elementary proof of Rohlin's signature theorem and its extension by Guillou and Marin, à paraître.

    Google Scholar 

  15. V. A. ROHLIN-A new result in the theory of four dimensional manifolds, Soviet. Math. Doklady 8(1952), 221–224.

    MathSciNet  Google Scholar 

  16. J. D. STASHEFF-A classification theorem for fibre spaces, Topology 2 (1963), 239–246.

    Article  MATH  MathSciNet  Google Scholar 

  17. D. SULLIVAN-Triangulating homotopy equivalences, Thesis Princeton University 1965.

    Google Scholar 

  18. C. T. C. WALL-Surgery on compact manifolds, Academic Press 1971.

    Google Scholar 

Download references

Authors

Rights and permissions

Reprints and permissions

Copyright information

© 1980 N. Bourbaki

About this paper

Cite this paper

Lannes, J. (1980). Un faux espace projectif réel de dimension 4 [d'après Sylvain E. Cappell et Julius L. Shaneson]. In: Séminaire Bourbaki vol. 1978/79 Exposés 525 – 542. Lecture Notes in Mathematics, vol 770. Springer, Berlin, Heidelberg . https://doi.org/10.1007/BFb0096234

Download citation

  • DOI: https://doi.org/10.1007/BFb0096234

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-09733-4

  • Online ISBN: 978-3-540-38547-9

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics