Localized stable homotopy of some classifying spaces

DOI10.1017/S0305004100058205zbMath0464.55007MaRDI QIDQ3915653

Victor P. Snaith

Publication date: 1981

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

zbMATH Keywords

complex K-theorydecomposition of BU and BSp into bouquetslocalized stable homotopy of classifying spacesstable maps into infinite projective space with the Bott element inverted

Mathematics Subject Classification ID

Stable classes of vector space bundles in algebraic topology and relations to (K)-theory (55R50) Topological (K)-theory (55N15) Stable homotopy groups (55Q10) Homology and homotopy of (Bmathrm{O}) and (Bmathrm{U}); Bott periodicity (55R45)

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James Maps, Segal Maps, and the Kahn-Priddy Theorem ⋮ Preorientations of the derived motivic multiplicative group ⋮ Coalgebraic formal curve spectra and spectral jet spaces ⋮ Splittings of global Mackey functors and regularity of equivariant Euler classes ⋮ Remarks on \(K(1)\)-local \(K\)-theory ⋮ Wilson spaces, Snaith constructions, and elliptic orientations ⋮ Higher topological Hochschild homology of periodic complex K-theory ⋮ Towards algebraic cobordism ⋮ Conformal field theory and elliptic cohomology ⋮ Detecting algebraic K ‐theory ⋮ The cotangent complex and Thom spectra ⋮ Twisted iterated algebraic \(K\)-theory and topological T-duality for sphere bundles ⋮ Slices of co-operations forKGL ⋮ Gauge enhancement of super M-branes via parametrized stable homotopy theory ⋮ Thom spectra, higher THH and tensors in \(\infty\)-categories

Cites Work

• The transfer map and fiber bundles
• \(K_i\) groups of rings of algebraic integers
• A new infinite family in \(_2\pi^s_1\)
• Self-intersections and higher Hopf invariants
• Some stable homotopy of complex projective space
• Towards algebraic cobordism
• The transfer and compact Lie groups
• A Stable Decomposition of ω ^N Sⁿ X
• THE STABLE HOMOTOPY OF COMPLEX PROJECTIVE SPACE

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