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arxiv: 0907.0136 · v3 · submitted 2009-07-01 · 🧮 math.GT · math.AT

Cappell-Shaneson homotopy spheres are standard

classification 🧮 math.GT math.AT
keywords cappell-shanesonhomotopyspheresakbulut-kirbyconstructeddiffeomorphicgeneralizesgompf
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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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