The Adams-Novikov \(E_2\)-term for \(\pi_*(L_2S^0)\) at the prime 2

DOI10.1007/s002090200415zbMath1012.55021OpenAlexW1976452572MaRDI QIDQ1849681

Katsumi Shimomura, Xiang Jun Wang

Publication date: 1 December 2002

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

Full work available at URL: https://doi.org/10.1007/s002090200415

zbMATH Keywords

Bousfield localizationAdams-Novikov spectral sequenceBockstein spectral sequencechromatic spectral sequencechromatic towerJohnson-Wilson theories

Mathematics Subject Classification ID

Localization and completion in homotopy theory (55P60) Stable homotopy theory, spectra (55P42) Adams spectral sequences (55T15) Stable homotopy groups (55Q10) Stable homotopy of spheres (55Q45)

Related Items (7)

Chromatic splitting for the \(K(2)\)-local sphere at \(p=2\) ⋮ The chromatic splitting conjecture at \(n = p = 2\) ⋮ The Slice Spectral Sequence of a 𝐶₄-Equivariant Height-4 Lubin–Tate Theory ⋮ The homotopy groups of \(S_{E(2)}\) at \(p\geq 5\) revisited ⋮ The homotopy groups of 𝐿₂𝑇(1)/(𝑣₁) at an odd prime ⋮ Towards the homotopy of the \(K(2)\)-local Moore spectrum at \(p=2\) ⋮ The 𝛼-family in the 𝐾(2)-local sphere at the prime 2

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