Smooth structures on \(\Sigma\times\mathbb{R}\) (Q1817559)
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scientific article; zbMATH DE number 1382628
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Smooth structures on \(\Sigma\times\mathbb{R}\) |
scientific article; zbMATH DE number 1382628 |
Statements
Smooth structures on \(\Sigma\times\mathbb{R}\) (English)
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10 April 2000
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The author proves that, for certain smooth closed three-dimensional manifolds \(\Sigma\), the topological manifold \(\Sigma\times\mathbb{R}\) possesses uncountably many smooth sructures. In particular, this holds if \(\Sigma\) is a rational homology sphere, or a Seifert manifold, or an almost flat manifold in Gromov's sense.
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Seiberg-Witten invariants
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4-manifolds
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