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Vector bundles on projective 3-space

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  1. Atiyah, M.F.: Bott periodicity and the index of elliptic operators. Quart. J. Math. (Oxford)19, 113–40 (1968)

    Google Scholar 

  2. Atiyah, M.F.:K-theory and reality. Quart. J. Math. (Oxford)17, 367–86 (1966)

    Google Scholar 

  3. Atiyah, M.F.: Riemann surfaces and Spin structures. Ann. Ecole Norm. Sup.4, 47–62 (1971)

    Google Scholar 

  4. Atiyah, M.F., Bott, R., Shapiro, A.: Clifford modules. Topology3 (Suppl. 1), 3–38 (1964)

    Google Scholar 

  5. Atiyah, M.F., Singer, I.M.: The index of elliptic operators V. Ann. of Math.93, 139–149 (1971)

    Google Scholar 

  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. 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. Hirzebruch, F.: Topological Methods in Algebraic Geometry. Berlin-Heidelberg-New York: Springer 1966

    Google Scholar 

  9. Hitchin, N.: Harmonic spinors. Advances in Math.14, 1–55 (1974)

    Google Scholar 

  10. Horrocks, G.: A construction for locally free sheaves. Topology7, 117–120 (1968)

    Google Scholar 

  11. Lichnerowicz, A.: Spineurs harmoniques. C. R. Acad. Sci. Paris257, 7–9 (1963)

    Google Scholar 

  12. Rees, E.: Complex bundles with two sections. Proc. Camb. Phil. Soc.71, 457–462 (1972)

    Google Scholar 

  13. Schwarzenberger, R.L.E.: Vector bundles on algebraic surfaces. Proc. London Math. Soc.11, 601–22 (1961)

    Google Scholar 

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To Jean-Pierre Serre

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Atiyah, M.F., Rees, E. Vector bundles on projective 3-space. Invent Math 35, 131–153 (1976).

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