Quelques éléments dans l'homotopie stable du groupe unitaire

DOI10.24033/bsmf.2080zbMath0638.55010OpenAlexW2584466484MaRDI QIDQ3779444

Vincent Franjou

Publication date: 1987

Published in: Bulletin de la Société mathématique de France (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=BSMF_1987__115__309_0

zbMATH Keywords

hypersurfacesHurewicz mapThom-Pontryagin constructionstable homotopy of the infinite unitary groupe- invariantgenerator of the primitivesp-local splitting of U(m)

Mathematics Subject Classification ID

Stable classes of vector space bundles in algebraic topology and relations to (K)-theory (55R50) Homology and cohomology of Lie groups (57T10) Bordism and cobordism theories and formal group laws in algebraic topology (55N22) Specialized structures on manifolds (spin manifolds, framed manifolds, etc.) (57R15) Stable homotopy groups (55Q10)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Modular representations of \(GL(n,p)\), splitting \(\Sigma(CP^{\infty} \times \dots \times CP^{\infty})\) and the \(\beta\)-family as framed hypersurfaces
• Quelques calculs en corbordisme lagrangien
• Mod p decomposition of compact Lie groups
• Mod p decompositions of co H-spaces and applications
• The representation theory of the symmetric groups
• Some stable homotopy of complex projective space
• On the sphere of origin of infinite families in the homotopy groups of spheres
• Framings on Hypersurfaces
• On the Kummer Congruences and the Stable Homotopy of BU
• Some infinte families of U-hypersurfaces.
• Embedding certain complexes via unstable homotopy theory
• Hypersurfaces Framées et L'Élément β₁, de Toda
• The Elements β₁ are Representable as Framed Hypersurfaces
• Opérations d'Adams en K-homologie et applications
• Smoothings of Piecewise Linear Manifolds. (AM-80)