Self-dual connections and the topology of smooth 4-manifolds. (English) Zbl 0519.57012


57N13 Topology of the Euclidean \(4\)-space, \(4\)-manifolds (MSC2010)
58J20 Index theory and related fixed-point theorems on manifolds
53C05 Connections (general theory)
57R55 Differentiable structures in differential topology
58E05 Abstract critical point theory (Morse theory, Lyusternik-Shnirel’man theory, etc.) in infinite-dimensional spaces
57R19 Algebraic topology on manifolds and differential topology
57R20 Characteristic classes and numbers in differential topology
53C80 Applications of global differential geometry to the sciences
81T08 Constructive quantum field theory
Full Text: DOI


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[6] C. H. Taubes, The existence of self-dual connections on non self-dual 4-manifolds, J. Differential Geom. (to appear). · Zbl 0484.53026
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[8] Karen K. Uhlenbeck, Removable singularities in Yang-Mills fields, Comm. Math. Phys. 83 (1982), no. 1, 11 – 29. · Zbl 0491.58032
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