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Self-dual connections and the topology of smooth 4-manifolds
Author(s):
S. K.
Donaldson
Journal:
Bull. Amer. Math. Soc.
8
(1983),
81-83.
MSC (1980):
Primary 57N13;
Secondary 58G99
MathSciNet review:
682827
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References |
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Additional information
References:
- 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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Additional Information:
DOI:
10.1090/S0273-0979-1983-15090-5
PII:
S 0273-0979(1983)15090-5
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