Homology of the double and triple loop space of \(SO(n)\)

DOI10.1007/BF02621858zbMath0845.55014MaRDI QIDQ1906886

Younggi Choi

Publication date: 12 February 1996

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/174876

zbMATH Keywords

Eilenberg-Moore spectral sequenceSerre spectral sequenceDyer-Lashof operationsBockstein spectral sequencedouble and triple loop spaceSteenrod actions

Mathematics Subject Classification ID

Loop spaces (55P35) Spectral sequences and homology of fiber spaces in algebraic topology (55R20)

Related Items (2)

On the category weight of \(\mathrm{Spin}(n)\) ⋮ Cohomology of the moduli space of \(SO(n)\)-instantons with instanton number 1

Cites Work

• Homology operations on instantons
• The homology of iterated loop spaces
• \(H^*\)Spin(\(n\)) as a Hopf algebra
• Topological aspects of Yang-Mills theory
• On the homotopy groups of the classical groups
• An application of the Morse theory to the topology of Lie-groups
• The homology and Morava K-theory of Ω 2 SU(n)
• On the Homology of SU(n) Instantons

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