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Cappell-Shaneson homotopy spheres are standard
Preprint
01 July 2009
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Abstract
We show that an infinite sequence of homotopy 4-spheres constructed by Cappell-Shaneson are all diffeomorphic to S^4. This generalizes previous results of Akbulut-Kirby and Gompf.
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Most cited references3
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A potential smooth counterexample in dimension 4 to the Poincare conjecture, the Schoenflies conjecture, and the Andrews-Curtis conjecture
Selman Akbulut, Robion Kirby (1985)
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Killing the Akbulut-Kirby 4-sphere, with relevance to the Andrews-Curtis and Schoenflies problems
Robert Gompf (1991)
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An exotic involution of S4
Robion Kirby, Selman Akbulut (1979)