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Vector bundles on projective 3-spaces. (English) Zbl 0332.32020


MSC:

32L05 Holomorphic bundles and generalizations
55R25 Sphere bundles and vector bundles in algebraic topology
14F05 Sheaves, derived categories of sheaves, etc. (MSC2010)
58J20 Index theory and related fixed-point theorems on manifolds
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References:

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[3] Atiyah, M.F.: Riemann surfaces and Spin structures. Ann. Ecole Norm. Sup.4, 47-62 (1971) · Zbl 0212.56402
[4] Atiyah, M.F., Bott, R., Shapiro, A.: Clifford modules. Topology3 (Suppl. 1), 3-38 (1964) · Zbl 0146.19001 · doi:10.1016/0040-9383(64)90003-5
[5] Atiyah, M.F., Singer, I.M.: The index of elliptic operators V. Ann. of Math.93, 139-149 (1971) · Zbl 0212.28603 · doi:10.2307/1970757
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[7] Donovan, P., Karoubi, M.: Graded Brauer groups andK-theory with local coefficients, Publ. Math. Inst. Hautes Etudes Sci.38, 5-25 (1970) · Zbl 0207.22003 · doi:10.1007/BF02684650
[8] Hirzebruch, F.: Topological Methods in Algebraic Geometry. Berlin-Heidelberg-New York: Springer 1966 · Zbl 0138.42001
[9] Hitchin, N.: Harmonic spinors. Advances in Math.14, 1-55 (1974) · Zbl 0284.58016 · doi:10.1016/0001-8708(74)90021-8
[10] Horrocks, G.: A construction for locally free sheaves. Topology7, 117-120 (1968) · Zbl 0162.27305 · doi:10.1016/0040-9383(68)90018-9
[11] Lichnerowicz, A.: Spineurs harmoniques. C. R. Acad. Sci. Paris257, 7-9 (1963) · Zbl 0136.18401
[12] Rees, E.: Complex bundles with two sections. Proc. Camb. Phil. Soc.71, 457-462 (1972) · Zbl 0229.55013 · doi:10.1017/S0305004100050738
[13] Schwarzenberger, R.L.E.: Vector bundles on algebraic surfaces. Proc. London Math. Soc.11, 601-22 (1961) · Zbl 0212.26003 · doi:10.1112/plms/s3-11.1.601
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