Cappell-Shaneson homotopy spheres are standard

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.

5 pages, 4 figures. A minor correction, a reference and a remark added, to appear in Annals of Mathematics

References in corpus (1)

• The Dolgachev Surface

Cited by in corpus (2)

• Fibered knots and Property 2R, II
• New Homotopy 4-Spheres