\(K\)-theory of mapping class groups: General \(p\)-adic \(K\)-theory for punctured spheres (Q1895765)
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scientific article; zbMATH DE number 784094
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | \(K\)-theory of mapping class groups: General \(p\)-adic \(K\)-theory for punctured spheres |
scientific article; zbMATH DE number 784094 |
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\(K\)-theory of mapping class groups: General \(p\)-adic \(K\)-theory for punctured spheres (English)
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29 August 1995
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Let \(\Gamma^n\) be the mapping class group of the \(n\)-punctured sphere, where \(n \geq 3\), and let \(p\) be a prime. The author computes the \(p\)-adic component of \(K^* (B \Gamma^n)\) by using a formula of Adem. This allows him to describe the classifying spaces. He had previously conjectured that \(K^* (B \Gamma^n)\) is torsion free. He shows here that this is not true.
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mapping class group
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classifying spaces
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