Rational Betti numbers of configuration spaces (Q1971121)
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scientific article; zbMATH DE number 1421583
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Rational Betti numbers of configuration spaces |
scientific article; zbMATH DE number 1421583 |
Statements
Rational Betti numbers of configuration spaces (English)
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22 March 2000
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The rational Betti numbers of the configuration space \(C_k(M)\) of \(k\) points in an even-dimensional orientable closed manifold \(M\) are computed and it is proved that these numbers depend only on the rational cohomology algebra of the manifold. A formula for the Euler-Poincaré characteristic of \(C_k(M)\) in terms only of \(k\) and of the Euler-Poincaré characteristic of \(M\) is also given.
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labeled configurations
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section spaces
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Euler characteristic
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minimal models
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