Geodesic
Cappell-Shaneson homotopy spheres are standard
Selman Akbulut1
1 Department of Mathematics<br/>Michigan State University<br/>East Lansing, MI, 48824<br/>United States
Annals of mathematics, Tome 171 (2010) no. 3, pp. 2171-2175

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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.

DOI : 10.4007/annals.2010.171.2171

Selman Akbulut 1

1 Department of Mathematics<br/>Michigan State University<br/>East Lansing, MI, 48824<br/>United States 
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Selman Akbulut. Cappell-Shaneson homotopy spheres are standard. Annals of mathematics, Tome 171 (2010) no. 3, pp. 2171-2175. doi: 10.4007/annals.2010.171.2171

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