The Complex Cobordism of BO n

DOI10.1112/jlms/s2-29.2.352zbMath0521.55005OpenAlexW2026757520MaRDI QIDQ3670176

W. Stephen Wilson

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1112/jlms/s2-29.2.352

zbMATH Keywords

Adams spectral sequenceBrown-Peterson homology of groupscomplex cobordism and bordism of MO(n) and BO(n)Conner-Floyd Chern classes

Mathematics Subject Classification ID

Sphere bundles and vector bundles in algebraic topology (55R25) Stable homotopy theory, spectra (55P42) Generalized (extraordinary) homology and cohomology theories in algebraic topology (55N20) Bordism and cobordism theories and formal group laws in algebraic topology (55N22) Complex cobordism ((mathrm{U})- and (mathrm{SU})-cobordism) (57R77) Adams spectral sequences (55T15) Homology and homotopy of (Bmathrm{O}) and (Bmathrm{U}); Bott periodicity (55R45)

Related Items (10)

The Morava \(K\)-theory of spaces related to \(BO\) ⋮ Unnamed Item ⋮ The Brown-Peterson homology of the classifying spaces \(BO\) and \(BO(n)\) ⋮ TheER(n)-cohomology ofBO(q) and real Johnson–Wilson orientations for vector bundles ⋮ The motivic cohomology ofBSO_n ⋮ Relative regular sequences and generalized cohomology of infinite real Grassmannians ⋮ The Morava \(K\)-theory of \(BO(q)\) and \(MO(q)\) ⋮ Stable splitting of the complex connective \(K\)-theory of \(BO(n)\) ⋮ Brown-Peterson and Ordinary Cohomology Theories of Classifying Spaces for Compact Lie Groups ⋮ The complex cobordism of \(BSO_n\)

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