Scharlemann's manifold is standard
Geometric Topology
2007-05-23 v2
Abstract
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.
Cite
@article{arxiv.math/9712255,
title = {Scharlemann's manifold is standard},
author = {Selman Akbulut},
journal= {arXiv preprint arXiv:math/9712255},
year = {2007}
}
Comments
14 pages, published version