Skip to main content
Log in

Diffeomorphisms of a product of spheres

  • Published:
Inventiones mathematicae Aims and scope

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

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

References

  1. Bott, R.: The stable homotopy of the classical groups. Annals of Math. (2),70, 313–337 (1959).

    Google Scholar 

  2. Browder, W.: Diffeomorphisms of 1-connected manifolds. Translations of the Amer. Math. Society28, 155–163 (1967).

    Google Scholar 

  3. Cerf, J.: Isotopy and pseudo-isotopy I and II. Lecture notes, Manchester, 1964.

  4. DeSapio, R.: Actions of Θ2k+1. Michigan Math. J.14, 97–100 (1967).

    Google Scholar 

  5. Haefliger, A.: Plongements differentiables de variétés dans variétés. Commentari Helvectici Math.36, 47–82 (1961).

    Google Scholar 

  6. Hsaing, W., J. Levine, and R. Szczarba: On the normal bundle of a homotopy sphere embedded in Euclidean space. Topology3, 173–181 (1964).

    Google Scholar 

  7. Kervaire, M., and J. Milnor: Groups of homotopy spheres I. Annals of Math.2, 504–537 (1963).

    Google Scholar 

  8. Levine, J.: Unknotting spheres in codimension 2. Topology4, 9–16 (1965).

    Google Scholar 

  9. Milnor, J.: Differentiable structures on spheres. American Journal of Math.81, 962–972 (1959).

    Google Scholar 

  10. Differential structures. Lecture notes, Princeton, 1961.

  11. Munkres, J.: Elementary differential topology. Annals of Math. Studies No. 54, Princeton, 1963.

  12. Sato, H.: Diffeomorphism groups and classification of manifolds. J. Math. Soc. Japan (21)1, 1–36 (1969).

    Google Scholar 

  13. Smale, S.: A survey of recent developments in differential topology. Bulletin of the American Math. Society69, 131–145 (1963).

    Google Scholar 

  14. —: Generalized Poincaré's conjecture in dimensions greater than four. Annals of Math. (2)74, 391–406 (1961).

    Google Scholar 

  15. Wall, C. W. C.: Classification of handlebodies. Topology2, 253–261 (1963).

    Google Scholar 

  16. —: Classification of (n-1)-connected 2n manifolds. Annals of Math.75, 163–189 (1962).

    Google Scholar 

  17. —: Calssification of (s-1)-connected (2s+1) manifolds. Topology6, 273–296 (1967).

    Google Scholar 

  18. —: Diffeomorphisms of handlebodies. Topology2, 263–272 (1963).

    Google Scholar 

  19. James, I. M., and J. H. C. Whitehead: Note on fibre spaces. Proc. Lond. Math. Soc. (3)4, 129–137 (1954).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

This work was supported in part by NSF Grant No. GP-6530.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Turner, E.C. Diffeomorphisms of a product of spheres. Invent Math 8, 69–82 (1969). https://doi.org/10.1007/BF01418871

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01418871

Navigation