2-knots in \(S^ 2\times{}S^ 2\), and homology 4-spheres (Q1191033)
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scientific article; zbMATH DE number 58999
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | 2-knots in \(S^ 2\times{}S^ 2\), and homology 4-spheres |
scientific article; zbMATH DE number 58999 |
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2-knots in \(S^ 2\times{}S^ 2\), and homology 4-spheres (English)
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27 September 1992
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This paper is concerned with 2-knots in \(S^ 2\times S^ 2\) which are homologous to \(S^ 2\times\{point\}\); these are studied by means of the homology 4-sphere \(\Sigma\) obtained by surgery on the knot. It is shown that such knots are classified by means of \(\pi_ 1(\Sigma)\) and a weight element. Examples are given of infinitely many distinct knots with isomorphic \(\pi_ 1(\Sigma)\).
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2-knots in \(S^ 2\times S^ 2\)
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homology 4-sphere
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surgery
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