Selman Akbulut
Published 1997-12-16, updated 1999-03-01Version 2
In his 1974 thesis, Martin Scharlemann constructed a fake homotopy equivalence from a closed smooth manifold f:Q -> S^3 x S^1 # S^2 x S^2 and asked whether the manifold Q itself is diffeomorphic to S^3 x S^1 # S^2 x S^2. Here we answer this question affirmatively.
Comments: 14 pages, published version
Journal: Ann. of Math. (2) 149 (1999), no. 2, 497-510
The link surgery of $S^2\times S^2$ and Scharlemann's manifolds
Computationally proving triangulated 4-manifolds to be diffeomorphic
Gluck twists of $S^4$ are diffeomorphic to $S^4$
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