Skip to main content
SpringerLink
Log in

Vector fields with finite singularities

  • Published:
Acta Mathematica

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

References

  1. Adams, J. F.,Stable homotopy theory. Lecture Notes in Mathematics, Vol. 3, Springer, 1966.

  2. —, Vector fields on spheres.Ann. of Math., 75 (1962), 603–632.

    Article  MATH  MathSciNet  Google Scholar 

  3. Atiyah, M. F., Bott periodicity and the index of elliptic operators.Quart. J. Math., 19 (1968), 113–140.

    MATH  MathSciNet  Google Scholar 

  4. —, Thom complexes.Proc. London Math. Soc., 11 (1961), 291–310.

    MATH  MathSciNet  Google Scholar 

  5. Atiyah, M. F.,Vector fields on manifolds. Arbeitsgemeinschaft für Forschung des Landes Nordrhein-Westfalen, Heft 200.

  6. Atiyah, M. F., Bott, R., &Shapiro, A., Clifford modules.Topology, 3 (1964), Supp. 1, 3–33.

    Article  MATH  MathSciNet  Google Scholar 

  7. Atiyah, M. F. &Segal, G. B., Equivariant K-theory and completion.J. Differential Geometry, 3 (1969), 1–18.

    MATH  MathSciNet  Google Scholar 

  8. Atiyah, M. F. &Singer, I. M., Index theory for skew-adjoint Fredholm operators.Publ. Math. Inst. Hautes Études Sci., 37 (1969), 305–325.

    Google Scholar 

  9. —, The index of elliptic operators I.Ann. of Math., 87 (1968), 484–530.

    Article  MATH  MathSciNet  Google Scholar 

  10. —, The index of elliptic operators III.Ann. of Math., 87 (1968), 546–603.

    Article  MathSciNet  Google Scholar 

  11. — The index of elliptic operators IV.Ann. of Math., 93 (1971), 119–138.

    Article  MATH  MathSciNet  Google Scholar 

  12. —, The index of elliptic operators V.Ann. of Math., 93 (1971), 139–149.

    Article  MATH  MathSciNet  Google Scholar 

  13. Dupont, J. L. &Lusztig, G., On manifolds satisfyingw 21 =0.Topology, 10 (1971), 81–92.

    Article  MATH  MathSciNet  Google Scholar 

  14. Frank, D., To appear.

  15. James, I., The intrinsic join.Proc. London Math. Soc. (3), 8 (1958), 507–535.

    MATH  MathSciNet  Google Scholar 

  16. —, Spaces associated with Stiefel manifolds.Proc. London Math. Soc. (3), 9 (1959), 115–140.

    MATH  MathSciNet  Google Scholar 

  17. Mayer, K. H., Elliptische Differentialoperatoren und Ganzzahligkeitssätze für charakteristische Zahlen.Topology, 4 (1965), 295–313.

    Article  MATH  MathSciNet  Google Scholar 

  18. Paechter, G. F., The groups π r (V n, m ) (IV).Quart. J. Math. (2) 10 (1959), 241–260.

    MathSciNet  Google Scholar 

  19. Thomas, E., Fields of tangent 2-planes on even-dimensional manifolds.Ann. of Math., 86, (1967), 349–361.

    Article  MATH  MathSciNet  Google Scholar 

  20. —, Vector fields on manifolds.Bull. Amer. Math. Soc., 75 (1969), 643–683.

    Article  MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institute for Advanced Study, Princeton, N.J.

    M. F. Atiyah & J. L. Dupont

  2. University of Aarhus, Denmark

    M. F. Atiyah & J. L. Dupont

Authors
  1. M. F. Atiyah
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. J. L. Dupont
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Atiyah, M.F., Dupont, J.L. Vector fields with finite singularities. Acta Math. 128, 1–40 (1972). https://doi.org/10.1007/BF02392157

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02392157

Keywords

Search

Navigation