Some calculations in the unstable Adams-Novikov spectral sequence

DOI10.2977/prims/1195186928zbMath0457.55014OpenAlexW1968069671MaRDI QIDQ1151176

Martin Bendersky

Publication date: 1980

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/1195186928

zbMATH Keywords

SU(n)Brown-Peterson homologycomplex cobordism homology theoryinfinite spcial unitary group SUodd sphereunstable Adams-Novikov spectral sequenceunstable image of the J-homomorphism

Mathematics Subject Classification ID

Adams spectral sequences (55T15) Homotopy groups of topological groups and homogeneous spaces (57T20) (J)-morphism (55Q50)

Related Items (5)

An unstable change of rings for Morava \(E\)-theory ⋮ Divisible groups in the \(K\)-theory completion of \(SU(n)\) ⋮ On the p-regularity of Stiefel manifolds ⋮ Unstable Towers in the Odd Primary Homotopy Groups of Spheres ⋮ Divisibility of Generalized Exponential and Logarithmic Coefficients

Cites Work

• Unnamed Item
• Mod p decomposition of compact Lie groups
• The unstable Adams spectral sequence for generalized homology
• The Adams-Novikov spectral sequence for the spheres
• A topological proof of theorems of Bott and Borel-Hirzeburch for homotopy groups of unitary groups
• The Ω-Spectrum for Brown-Peterson Cohomology Part II
• A universal formal group and complex cobordism
• Pairings and Products in the Homotopy Spectral Sequence
• Simplicial homotopy theory

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