Homotopy type of gauge groups of SU(3)-bundles over S\(^{6}\) (Q876530)
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scientific article; zbMATH DE number 5144525
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Homotopy type of gauge groups of SU(3)-bundles over S\(^{6}\) |
scientific article; zbMATH DE number 5144525 |
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Homotopy type of gauge groups of SU(3)-bundles over S\(^{6}\) (English)
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18 April 2007
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Principal \(SU(3)\) bundles over \(S^{6\text{ }}\)are classified by an integer \(k\). \ The gauge group of the principal bundle is the group of \(SU(3)\) equivariant self maps covering the identity. \ This paper shows that two such principal bundles associated to \(k\) and \(k^{\prime }\) have gauge groups of the same homotopy type if and only if \(\text{gcd}(120,k)=\text{gcd}(120,k^{\prime }).\)
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homotopy
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gauge group
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