Exotic R^4

Donaldson (1983) showed there exists an exotic smooth differential structure on R^4. Donaldson's result has been extended to there being precisely a continuum of nondiffeomorphic differential structures on R^4.

See also

Exotic Sphere, Smooth Structure

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Donaldson, S. K. "Self-Dual Connections and the Topology of Smooth 4-Manifold." Bull. Amer. Math. Soc. 8, 81-83, 1983.Monastyrsky, M. Modern Mathematics in the Light of the Fields Medals. Wellesley, MA: A K Peters, 1997.

Cite this as:

Weisstein, Eric W. "Exotic R^4." From MathWorld--A Wolfram Web Resource.

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