Bott's periodicity theorem and differentials of the Adams spectral sequence of homotopy groups of spheres

DOI10.1134/S0001434608110126zbMath1219.55012OpenAlexW2141251073MaRDI QIDQ635634

V. A. Smirnov

Publication date: 20 August 2011

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434608110126

zbMATH Keywords

exterior algebraloop spacehomotopy groups of spheresstable homotopy groupBott's periodicity theoremdifferentials of the Adams spectral sequence

Mathematics Subject Classification ID

Adams spectral sequences (55T15) Dyer-Lashof operations (55S12) Homology and homotopy of (Bmathrm{O}) and (Bmathrm{U}); Bott periodicity (55R45) (J)-morphism (55Q50) Stable homotopy of spheres (55Q45)

Cites Work

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• On the structure and applications of the Steenrod algebra
• Perturbation theory in differential homological algebra. II
• The stable homotopy of the classical groups
• The homotopy spectral sequence of a space with coefficients in a ring
• The 𝑚𝑜𝑑2 cohomology structure of certain fibre spaces
• Homology of Iterated Loop Spaces

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