The multiplicative structure on the graded slices of Hermitian \(K\)-theory and Witt-theory (Q303938)
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scientific article; zbMATH DE number 6618805
| Language | Label | Description | Also known as |
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| English | The multiplicative structure on the graded slices of Hermitian \(K\)-theory and Witt-theory |
scientific article; zbMATH DE number 6618805 |
Statements
The multiplicative structure on the graded slices of Hermitian \(K\)-theory and Witt-theory (English)
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23 August 2016
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In [Geom. Topol. 20, No. 2, 1157--1212 (2016; Zbl 1416.19001)], the authors computed all slices \(s_q E\) (\(q \in \mathbb Z\)) for the motivic spectra \(E\) representing hermitian \(K\)-theory and Witt-theory, respectively. The present short addendum completes these calculations by describing the respective graded slices \(s_* E := \bigoplus_q s_q E\) as graded \textit{ring} spectra. As a corollary, the authors provide explicit descriptions of the first differential in the associated slice spectral sequences.
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hermitian \(K\)-theory
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motivic cohomology
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slice spectral sequence
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multiplicative structure on slices
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Witt-theory spectra
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