Advertisement

On the stable splitting of U(n) and ωU(n)

  • M. C. Crabb
Conference paper
Part of the Lecture Notes in Mathematics book series (LNM, volume 1298)

Keywords

Vector Bundle Grassmann Manifold Canonical Factorization Quaternionic Case Stable Decomposition 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    M.F. Atiyah, K-Theory (Benjamin, New York, 1967).MATHGoogle Scholar
  2. 2.
    M.C. Crabb, ℤ/2-Homotopy Theory (Cambridge University Press, 1980).Google Scholar
  3. 3.
    M.C. Crabb and D.L. Gonçalves, On the space of matrices of given rank (in preparation).Google Scholar
  4. 4.
    M.C. Crabb and K. Knapp, On the codegree of negative multiples of the Hopf bundle (preprint, 1986).Google Scholar
  5. 5.
    T. Frankel, Critical submanifolds of the classical groups and Stiefel manifolds, in Differential and Combinatorial Topology: a Symposium in Honor of Marston Morse, 37–53 (ed. S.S. Cairns, Princeton University Press, 1965).Google Scholar
  6. 6.
    I.M. James, Spaces associated with Stiefel manifolds, Proc. London Math. Soc. 9 (1959), 115–40.MathSciNetCrossRefMATHGoogle Scholar
  7. 7.
    I.M. James, General Topology and Homotopy Theory (Springer, New York, 1984).CrossRefMATHGoogle Scholar
  8. 8.
    A. Kono, Segal-Becker theorem for KR-theory, Japan. J. Math. 7 (1981), 195–9.MathSciNetMATHGoogle Scholar
  9. 9.
    S. Lang, Analysis II (Addison-Wesley, Reading, 1969).MATHGoogle Scholar
  10. 10.
    H. Miller, Stable splitting of Stiefel manifolds, Topology 24 (1985), 411–9.MathSciNetCrossRefMATHGoogle Scholar
  11. 11.
    S.A. Mitchell, A filtration of the loops on SU(n) by Schubert varieties (preprint, 1985).Google Scholar
  12. 12.
    S.A. Mitchell (lecture at the 1986 Barcelona Conference on Algebraic Topology, April 1986).Google Scholar
  13. 13.
    G.B. Segal, Loop groups, in Arbeitstagung Bonn 1984, 155–68 (Springer Lecture Notes in Math. 1111, 1985).Google Scholar
  14. 14.
    V.P. Snaith, Algebraic cobordism and K-theory (Amer. Math. Soc. Memoir 221, 1979).Google Scholar

Copyright information

© Springer-Verlag 1987

Authors and Affiliations

  • M. C. Crabb
    • 1
  1. 1.Department of MathematicsUniversity of AberdeenAberdeenU.K.

Personalised recommendations