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Topological aspects of Yang-Mills theory. (English) Zbl 0387.55009

MSC:
55R15 Classification of fiber spaces or bundles in algebraic topology
58J20 Index theory and related fixed-point theorems on manifolds
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[1] Arnol’d, V.I.: The cohomology ring of the coloured braid group. Math. Notes Acad. Sci. USSR5, 138–140 (1969) · Zbl 0277.55002 · doi:10.1007/BF01098313
[2] Atiyah, M.F.:K-theory. New York: Benjamin 1967 · Zbl 0159.53401
[3] Atiyah, M.F.: Bott periodicity and the index of elliptic operators. Quart. J. Math. (Oxford)19, 113–140 (1968) · Zbl 0159.53501 · doi:10.1093/qmath/19.1.113
[4] Atiyah, M.F.: Geometry of Yang-Mills fields. Proc. Intern. Conf. Math. Physics, Rome 1977 · Zbl 0435.58001
[5] Atiyah, M.F., Bott, R.: (to appear)
[6] Atiyah, M.F., Drinfeld, V.G., Hitchin, N.J., Manin, Yu.I.: Construction of instantons. Phys. Lett.65, 185–187 (1978) · Zbl 0424.14004 · doi:10.1016/0375-9601(78)90141-X
[7] Atiyah, M.F., Hitchin, N., Singer, I.M.: Deformations of instantons. Proc. Nat. Acad. Sci.74, 2662–2663 (1977) · Zbl 0356.58011 · doi:10.1073/pnas.74.7.2662
[8] Atiyah, M.F., Hitchin, N., Singer, I.M.: Self-duality in four-dimensional Riemannian geometry. Proc. Roy. Soc. (to appear) · Zbl 0389.53011
[9] Atiyah, M.F., Singer, I.M.: The index of elliptic operators. I. Ann. Math.87, 484–530 (1968) · Zbl 0164.24001 · doi:10.2307/1970715
[10] Atiyah, M.F., Singer, I.M.: The index of elliptic operators. IV. Ann. Math.93, 119–138 (1971) · Zbl 0212.28603 · doi:10.2307/1970756
[11] Atiyah, I.M., Ward, R.S.: Instantons and algebraic geometry. Commun. math. Phys.55, 117–124 (1977) · Zbl 0362.14004 · doi:10.1007/BF01626514
[12] Cohen, F.R., Lada, T.J., May, J.P.: The homology of iterated loop spaces. Lecture notes in mathematics, Vol. 533. Berlin-Heidelberg-New York: Springer 1976 · Zbl 0334.55009
[13] Eells, J., Wood, J.C.: Restrictions on harmonic maps of surfaces. Topology15, 263–266 (1976) · Zbl 0328.58008 · doi:10.1016/0040-9383(76)90042-2
[14] Hartshorne, R.: Stable vector bundles and instantons. Commun. math. Phys.59, 1–15 (1978) · Zbl 0383.14006 · doi:10.1007/BF01614151
[15] Jackiw, R., Rebbi, C., Nohl, C.: Conformal properties of pseudo-particle configurations. Phys. Rev. D15, 1642–1646 (1977) · doi:10.1103/PhysRevD.15.1642
[16] Koschorke, U.: Infinite dimensionalK-theory and characteristic classes of Fredholm bundle maps. Proc. Symp. Pure Math.15, 95–133 (1970) · Zbl 0207.53602
[17] Segal, G.: Configuration spaces and iterated loop spaces. Inventiones math.21, 213–221 (1973) · Zbl 0267.55020 · doi:10.1007/BF01390197
[18] Singer, I.M.: Some remarks on the Gribov ambiguity. Commun. math. Phys.60, 7–12 (1978) · Zbl 0379.53009 · doi:10.1007/BF01609471
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