Power operations and coactions in highly commutative homology theories

DOI10.4171/PRIMS/154zbMath1351.55014arXiv1309.2323MaRDI QIDQ2350336

Andrew Baker

Publication date: 19 June 2015

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1309.2323

zbMATH Keywords

coactionsstructured ring spectrapower operations\(E_\infty\) ring spectra\(H_\infty\) ring spectra

Mathematics Subject Classification ID

Steenrod algebra (55S10) Spectra with additional structure ((E_infty), (A_infty), ring spectra, etc.) (55P43) Dyer-Lashof operations (55S12)

Related Items (7)

\(\mathcal {E}_\infty \) ring spectra and elements of Hopf invariant 1 ⋮ Secondary power operations and the Brown-Peterson spectrum at the prime \(2\) ⋮ Mod 2 power operations revisited ⋮ Topological equivalences of E-infinity differential graded algebras ⋮ Characteristics for ℰ_{∞} ring spectra ⋮ The topological Hochschild homology of algebraic \(K\)-theory of finite fields ⋮ Calculating obstruction groups for 𝐸_{∞} ring spectra

Cites Work

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• BP: close encounters of the \(E_\infty\) kind
• Husemoller-Witt decompositions and actions of the Steenrod algebra

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