On the detection of some elements in the image of the double transfer using K(2)-theory

DOI10.1007/BF01418341zbMath0621.55011MaRDI QIDQ1089959

Andrew Baker

Publication date: 1988

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

Full work available at URL: https://eudml.org/doc/183744

zbMATH Keywords

Hopf algebroidBP-theoryAdams-Novikov spectral sequenceBP-Hurewicz mapdouble U(1)-transfer

Mathematics Subject Classification ID

Stable homotopy theory, spectra (55P42) Adams spectral sequences (55T15) (K)-theory operations and generalized cohomology operations in algebraic topology (55S25) Transfer for fiber spaces and bundles in algebraic topology (55R12) Stable homotopy of spheres (55Q45)

Related Items (3)

ON THE DOUBLE TRANSFER AND THE f-INVARIANT ⋮ On the iterated complex transfer ⋮ The Circle Transfer and Cobordism Categories

Cites Work

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• Modular representations of \(GL(n,p)\), splitting \(\Sigma(CP^{\infty} \times \dots \times CP^{\infty})\) and the \(\beta\)-family as framed hypersurfaces
• On products of the beta-elements in the stable homotopy of spheres
• The cohomology of the Morava stabilizer algebras
• Morava stabilizer algebras and the localization of Novikov's \(E_2\)-term
• Periodic phenomena in the Adams-Novikov spectral sequence

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