The Hopf ring of Morava K-theory

DOI10.2977/prims/1195180879zbMath0564.55004OpenAlexW2129140914MaRDI QIDQ1058189

W. Stephen Wilson

Publication date: 1984

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

Full work available at URL: https://doi.org/10.2977/prims/1195180879

zbMATH Keywords

Hopf algebrabar spectral sequenceHopf ring\(\Omega \) -spectrumAtiyah- Hirzebruch spectral sequenceBP module spectrumn-th Morava K-theory for a prime p

Mathematics Subject Classification ID

Stable homotopy theory, spectra (55P42) Generalized (extraordinary) homology and cohomology theories in algebraic topology (55N20) Topological (K)-theory (55N15) Generalized cohomology and spectral sequences in algebraic topology (55T25) (K)-theory operations and generalized cohomology operations in algebraic topology (55S25)

Related Items

The mod 2 Hopf ring for connective Morava \(K\)-theory ⋮ The Hopf ring for \(bo\) and its connective covers ⋮ Dieudonné rings associated with $K(n)_\ast \underline {k(n)}_{ \ast }$ ⋮ Quillen's work on formal group laws and complex cobordism theory ⋮ Stable and unstable operations in mod \(p\) cohomology theories ⋮ Modular coinvariants and the modphomology ofQS^k ⋮ On the $BP\langle n\rangle $-cohomology of elementary abelian $p$-groups ⋮ The Omega spectrum for mod 2 \(KO\)-theory

Cites Work

• BP operations and Morava's extraordinary K-theories
• The structure of Morava stabilizer algebras
• Multiplications in the complex bordism theory with singularities
• Periodic phenomena in the Adams-Novikov spectral sequence
• On products in a family of cohomology theories associated to the invariant prime ideals of \(\pi_*(BP)\)
• HOPF RINGS IN THE BAR SPECTRAL SEQUENCE
• The Morava K-Theories of Eilenberg-MacLane Spaces and the Conner-Floyd Conjecture
• A Topological Note on the Adams Spectral Sequence based on Morava's K-Theory
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