Cappell-Shaneson homotopy spheres are standard

Abstract

We show here 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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Authors

Selman Akbulut

Department of Mathematics
Michigan State University
East Lansing, MI, 48824
United States