Brown-Peterson cohomology from Morava \(K\)-theory

DOI10.1023/A:1007776725714zbMath0912.55002OpenAlexW4233828005MaRDI QIDQ1273636

Nobuaki Yagita, W. Stephen Wilson, Douglas C. Ravenel

Publication date: 16 May 1999

Published in: \(K\)-Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1007776725714

zbMATH Keywords

Morava \(K\)-theoryAtiyah-Hirzebruch spectral sequenceBrown-Peterson cohomologyEilenberg-Maclane spaces

Mathematics Subject Classification ID

Bordism and cobordism theories and formal group laws in algebraic topology (55N22) Eilenberg-Mac Lane spaces (55P20) Topological (K)-theory (55N15) Algebraic (K)-theory of spaces (19D10) (J)-homomorphism, Adams operations (19L20)

Related Items (23)

Transfers of Chern classes in BP-cohomology and Chow rings ⋮ Splittings of bicommutative Hopf algebras. ⋮ The Morava \(K\)-theory of spaces related to \(BO\) ⋮ Twisted Morava K-theory and E-theory ⋮ Cannibalistic classes of string bundles ⋮ TheER(n)-cohomology ofBO(q) and real Johnson–Wilson orientations for vector bundles ⋮ Twisted Morava \(K\)-theory and connective covers of Lie groups ⋮ Landweber flat real pairs and \(ER(n)\)-cohomology ⋮ Relative regular sequences and generalized cohomology of infinite real Grassmannians ⋮ Coniveau filtrations and Milnor operation ⋮ The Morava \(K\)-theory of \(BO(q)\) and \(MO(q)\) ⋮ Obstruction theory and the level n elliptic genus ⋮ Wilson spaces, Snaith constructions, and elliptic orientations ⋮ \(TMF_0(3)\)-characteristic classes for string bundles ⋮ Brown–Peterson cohomology from Morava -theory ⋮ From 𝐾(𝑛+1)_{*}(𝑋) to 𝐾(𝑛)_{*}(𝑋) ⋮ The complex cobordism of \(BSO_n\) ⋮ The Brown-Peterson cohomology of the classifying spaces of the projective unitary groups 𝑃𝑈(𝑝) and exceptional Lie groups ⋮ Examples for the mod 𝑝 motivic cohomology of classifying spaces ⋮ Characteristic classes in $TMF$ of level $\Gamma _1(3)$ ⋮ The complex oriented cohomology of extended powers ⋮ On the $BP\langle n\rangle $-cohomology of elementary abelian $p$-groups ⋮ Spectra of 𝐵𝑃-linear relations, 𝑣_{𝑛}-series, and 𝐵𝑃 cohomology of Eilenberg-Mac Lane spaces

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