Inventiones mathematicae

, Volume 35, Issue 1, pp 131–153 | Cite as

Vector bundles on projective 3-space

  • M. F. Atiyah
  • E. Rees
Article

Keywords

Vector Bundle 
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References

  1. 1.
    Atiyah, M.F.: Bott periodicity and the index of elliptic operators. Quart. J. Math. (Oxford)19, 113–40 (1968)Google Scholar
  2. 2.
    Atiyah, M.F.:K-theory and reality. Quart. J. Math. (Oxford)17, 367–86 (1966)Google Scholar
  3. 3.
    Atiyah, M.F.: Riemann surfaces and Spin structures. Ann. Ecole Norm. Sup.4, 47–62 (1971)Google Scholar
  4. 4.
    Atiyah, M.F., Bott, R., Shapiro, A.: Clifford modules. Topology3 (Suppl. 1), 3–38 (1964)Google Scholar
  5. 5.
    Atiyah, M.F., Singer, I.M.: The index of elliptic operators V. Ann. of Math.93, 139–149 (1971)Google Scholar
  6. 6.
    Atiyah, M.F., Singer, I.M.: Index theory for skew-adjoint Fredholm operators. Publ. Math. Inst. Hautes Etudes Sci.37, 5–26 (1969)Google Scholar
  7. 7.
    Donovan, P., Karoubi, M.: Graded Brauer groups andK-theory with local coefficients, Publ. Math. Inst. Hautes Etudes Sci.38, 5–25 (1970)Google Scholar
  8. 8.
    Hirzebruch, F.: Topological Methods in Algebraic Geometry. Berlin-Heidelberg-New York: Springer 1966Google Scholar
  9. 9.
    Hitchin, N.: Harmonic spinors. Advances in Math.14, 1–55 (1974)Google Scholar
  10. 10.
    Horrocks, G.: A construction for locally free sheaves. Topology7, 117–120 (1968)Google Scholar
  11. 11.
    Lichnerowicz, A.: Spineurs harmoniques. C. R. Acad. Sci. Paris257, 7–9 (1963)Google Scholar
  12. 12.
    Rees, E.: Complex bundles with two sections. Proc. Camb. Phil. Soc.71, 457–462 (1972)Google Scholar
  13. 13.
    Schwarzenberger, R.L.E.: Vector bundles on algebraic surfaces. Proc. London Math. Soc.11, 601–22 (1961)Google Scholar

Copyright information

© Springer-Verlag 1976

Authors and Affiliations

  • M. F. Atiyah
    • 1
  • E. Rees
    • 2
  1. 1.Mathematical InstituteUniversity of OxfordOxfordEngland
  2. 2.St. Catherine's CollegeOxfordEngland

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