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On the work of Simon Donaldson. (English) Zbl 0666.01010
Proc. Int. Congr. Math., Berkeley/Calif. 1986, Vol. 1, 3-6 (1987).
[For the entire collection see Zbl 0657.00005.]
A sketch of Donaldson’s magnificent work with 4-dimensional differentiable manifolds, especially emphasizing the use of methods adapted from physics (in particular, instantons and the Yang-Mills equations). For example, one such result is that there are “exotic” 4- spaces that contain compact sets that do not lie inside any differentiably imbedded 3-sphere.
Reviewer: B.McAllister

MSC:
01A65 Development of contemporary mathematics
00-02 Research exposition (monographs, survey articles) pertaining to mathematics in general
76B25 Solitary waves for incompressible inviscid fluids
35-03 History of partial differential equations
57R99 Differential topology
Biographic References:
Donaldson, S.