Transfers of Chern classes in BP-cohomology and Chow rings

DOI10.1090/S0002-9947-00-02647-7zbMath0961.55012OpenAlexW1558292315MaRDI QIDQ4523177

Björn Schuster, Nobuaki Yagita

Publication date: 8 January 2001

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-00-02647-7

zbMATH Keywords

transferChow ringBP-theory

Mathematics Subject Classification ID

Classifying spaces of groups and (H)-spaces in algebraic topology (55R35) Loop spaces (55P35) Hopf algebras (aspects of homology and homotopy of topological groups) (57T05) Homology and cohomology of (H)-spaces (57T25)

Related Items (5)

Chern classes and generators ⋮ Addendum to the paper: The Chow rings of G 2 and Spin(7) ⋮ Brown–Peterson cohomology from Morava -theory ⋮ Examples for the mod 𝑝 motivic cohomology of classifying spaces ⋮ Chern subrings

Cites Work

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• On relations between Brown-Peterson cohomology and the ordinary mod p cohomology theory
• On the integral cohomology of extraspecial 2-groups
• Brown-Peterson cohomology from Morava \(K\)-theory
• The semigroup of singular endomorphisms
• Cohomology for groups of \(\text{rank}_ pG=2\) and Brown-Peterson cohomology
• Morava \(K\)-theory of classifying spaces: Some calculations
• The mod 2 cohomology rings of extra-special 2-groups and the spinor groups
• Brown-Peterson and Ordinary Cohomology Theories of Classifying Spaces for Compact Lie Groups
• Corrigendum: ‘the Cohomology of Extraspecial groups’
• Torsion algebraic cycles and complex cobordism
• On the Morava K-theory of some finite 2-groups
• Transfer and Chern classes for extraspecial p-groups

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