Scharlemann's manifold is standard

Details Scharlemann's manifold is standard Scharlemann's manifold is standard

1997-12-16

arxiv.org/abs/math/9712255v2

Ann. of Math. (2) 149 (1999), no. 2, 497-510

Mathematics

Geometric Topology

14 pages, published version

Scientific paper

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.

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