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Bulletin of the American Mathematical Society

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Self-dual connections and the topology of smooth 4-manifolds


Author: S. K. Donaldson
Journal: Bull. Amer. Math. Soc. 8 (1983), 81-83
MSC (1980): Primary 57N13; Secondary 58G99
DOI: https://doi.org/10.1090/S0273-0979-1983-15090-5
MathSciNet review: 682827
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References [Enhancements On Off] (What's this?)

  • 1. M. F. Atiyah, N. J. Hitchin and I. M. Singer, Self-duality in 4-dimensional Riemannian geometry, Proc. Roy. Soc. London Ser. A 362 (1978), 425-461. MR 506229
  • 2. M. Kuranishi, New proof of the existence of locally complete families of complex structures, Proc. Conf. Complex Analysis (Aeppi et al, (eds.)), Springer-Verlag, Berlin and New York, 1964, pp. 142-154. MR 176496
  • 3. J. Milnor, On simply connected 4-manifolds, Internat. Sympos. Algebraic Topology (Mexico, 1958). MR 103472
  • 4. J-P. Serre, A course in arithmetic, Springer-Verlag, Berlin and New York, 1973. MR 344216
  • 5. S. Smale, An infinite dimensional version of Sard's Theorem, Amer. J. Math. 87 (1965), 861-866. MR 185604
  • 6. C. H. Taubes, The existence of self-dual connections on non self-dual 4-manifolds, J. Differential Geom. (to appear).
  • 7. K. K. Uhlenbeck, Connections vnth L, Comm. Math. Phys. 3 (1981).
  • 8. K. K. Uhlenbeck, Removable singularities in Yang-Mills fields, Comm. Math. Phys. 3 (1981). MR 648355

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DOI: https://doi.org/10.1090/S0273-0979-1983-15090-5

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