Calculation of the \(E_\infty\)-structure on the Milnor coalgebra (Q1277546)
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scientific article; zbMATH DE number 1257047
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Calculation of the \(E_\infty\)-structure on the Milnor coalgebra |
scientific article; zbMATH DE number 1257047 |
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Calculation of the \(E_\infty\)-structure on the Milnor coalgebra (English)
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1 March 1999
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The dual \(K\) of the mod two Steenrod algebra, in which \(\xi_0\) is a degree zero polynomial generator, is an algebra over the monad associated to an \(E_\infty\) operad. The author computes the resulting Dyer-Lashof operations and determines that \(K\) is generated by \(\xi_0\) over the Dyer-Lashof algebra. He claims that these computations can be used to compute higher differentials in the Adams spectral sequence for the stable homotopy groups of spheres.
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Steenrod algebra
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Dyer-Lashof operations
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Adams spectral sequence
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