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Geometry of SU(2) gauge fields. (English) Zbl 0418.53029


MSC:

53C80 Applications of global differential geometry to the sciences
53B15 Other connections
55R99 Fiber spaces and bundles in algebraic topology
57R20 Characteristic classes and numbers in differential topology
53C05 Connections (general theory)

Citations:

Zbl 0379.53009
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References:

[1] Dirac, P.A.M.: Lectures on quantum mechanics. New York: Belfer Graduate School Science, Yeshiva University 1964 · Zbl 0141.44603
[2] Faddeev, L.D.: The Feynman integral for singular Lagrangians. Theor. Math. Phys.1, 3-18 (1963)
[3] Gribov, V.N.: Instability of non-abelian gauge theories and impossibility of choice of Coulomb gauge. SLAC Translation176, (1977)
[4] Singer, I.M.: Some remarks on the Gribov ambiguity. Commun. Math. Phys.60, 7-12 (1978) · Zbl 0379.53009 · doi:10.1007/BF01609471
[5] Adams, R.A.: Sobolev spaces. New York, San Francisco, London: Academic Press 1975 · Zbl 0314.46030
[6] Eels, Jr., J.: A setting for global analysis. Bull. Am. Math. Soc.72, 751-807 (1966) · doi:10.1090/S0002-9904-1966-11558-6
[7] Bourbaki, N.: Topologie générale, Chapt. 3-4. Paris: Hermann 1960
[8] Dieudonné, J.: Foundations of modern analysis, Vol. 1. New York, London: Academic Press 1969 · Zbl 0176.00502
[9] Kodaira, K., Nirenberg, L., Spencer, D.C.: On the existence of deformations of complex analytic structures. Ann. Math.68, 450-459 (1958) · Zbl 0088.38004 · doi:10.2307/1970256
[10] Bourbaki, N.: Variétés différentielles et analytiques (Fascicule de resultats), Paragraphes 1 à 7. Paris: Hermann 1967 · Zbl 0171.22004
[11] Seifert, H., Threlfall, W.: Lehrbuch der Topologie. New York: Chelsea 1947
[12] Milnor, J.: Lectures on theh-cobordism theorem. Princeton: Princeton University Press 1965 · Zbl 0161.20302
[13] Koszul, J.L.: Lectures on fibre bundles and differential geometry. Bombay: Tata Institute of Fundamental Research 1960
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