Vol. 101, No. 1, 1982

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Embedding homology 3-spheres in S5

Steven Paul Plotnick

Vol. 101 (1982), No. 1, 147–151
Abstract

The purpose of this note is to give a proof independent of high-dimensional surgery theory of the following embedding result:

Theorem. Let Σ3 be the homology 3-sphere resulting from a Dehn surgery of type 12a on a knot in S3. Then Σ3 smoothly embeds in S5 with complement a homotopy circle.

Mathematical Subject Classification 2000
Primary: 57R40
Milestones
Received: 1 June 1980
Published: 1 July 1982
Authors
Steven Paul Plotnick