The Morava \(K\)-theory of \(BO(q)\) and \(MO(q)\)

DOI10.2140/AGT.2015.15.3049zbMath1329.55017arXiv1409.1492OpenAlexW3121931123MaRDI QIDQ894968

W. Stephen Wilson, Nitu Kitchloo

Publication date: 25 November 2015

Published in: Algebraic \& Geometric Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1409.1492

zbMATH Keywords

characteristic classesMorava \(K\)-theoryBrown-Peterson cohomologyclassifying spaces \(BO(q)\)Landweber flatness

Mathematics Subject Classification ID

Generalized (extraordinary) homology and cohomology theories in algebraic topology (55N20) Bordism and cobordism theories and formal group laws in algebraic topology (55N22) Topological (K)-theory (55N15) Homology and homotopy of (Bmathrm{O}) and (Bmathrm{U}); Bott periodicity (55R45)

Cites Work

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• Brown-Peterson cohomology from Morava \(K\)-theory
• Morava \(K\)-theory of classifying spaces: Some calculations
• The Morava \(K\)-theory of spaces related to \(BO\)
• Brown-Peterson and Ordinary Cohomology Theories of Classifying Spaces for Compact Lie Groups
• TheER(n)-cohomology ofBO(q) and real Johnson–Wilson orientations for vector bundles
• Coniveau filtration of cohomology of groups
• The Complex Cobordism of BO _n
• Homological Properties of Comodules Over MU ∗ (MU) and BP ∗ (BP)

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