The \(E_{2}\)-term of the \(K(n)\)-local \(E_{n}\)-Adams spectral sequence

DOI10.1016/j.topol.2016.03.024zbMath1348.55008arXiv1410.5269OpenAlexW2321103798MaRDI QIDQ281720

Tobias Barthel, Drew Heard

Publication date: 11 May 2016

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1410.5269

zbMATH Keywords

Adams spectral sequence\(K(n)\)-local homotopy theory\(L\)-complete comodulesMorava \(E\)-theory

Mathematics Subject Classification ID

Localization and completion in homotopy theory (55P60) Stable homotopy groups (55Q10) Complete rings, completion (13J10)

Related Items (7)

On conjectures of Hovey-Strickland and Chai ⋮ The chromatic splitting conjecture at \(n = p = 2\) ⋮ The \(Sp_{k,n}\)-local stable homotopy category ⋮ Obstruction theory and the level n elliptic genus ⋮ On the \(K(1)\)-local homotopy of \(\mathrm{tmf}\wedge\mathrm{tmf}\) ⋮ Monochromatic homotopy theory is asymptotically algebraic ⋮ Chromatic Picard groups at large primes

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Completed power operations for Morava \(E\)-theory
• The localization of spectra with respect to homology
• Noetherian localisations of categories of cobordism comodules
• On relations between Adams spectral sequences, with an application to the stable homotopy of a Moore space
• Morava stabilizer algebras and the localization of Novikov's \(E_2\)-term
• Relations between \(K_2\) and Galois cohomology
• Homotopy fixed point spectra for closed subgroups of the Morava stabilizer groups.
• Brave new Hopf algebroids and extensions of \(MU\)-algebras
• Operations and co-operations in Morava \(E\)-theory
• Comodules and Landweber exact homology theories
• The homotopy groups \(\pi_ * (L_ 2 S^ 0)\)
• Continuous homotopy fixed points for Lubin-Tate spectra
• A resolution of the \(K(2)\)-local sphere at the prime 3
• Homotopy fixed points for \(L_{K(n)}(E_{n}\land X)\) using the continuous action
• Stable homotopy over the Steenrod algebra
• Commutativity conditions for truncated Brown-Peterson spectra of height 2
• $L$-complete Hopf algebroids and their comodules
• Morava 𝐾-theories and localisation
• Invertible Spectra in the E (n )-Local Stable Homotopy Category
• The homotopy fixed point spectra of profinite Galois extensions
• Foundations of relative homological algebra
• A DESCENT SPECTRAL SEQUENCE FOR ARBITRARY K(n)-LOCAL SPECTRA WITH EXPLICIT E₂-TERM
• Morava $E$-theory of filtered colimits

This page was built for publication: The \(E_{2}\)-term of the \(K(n)\)-local \(E_{n}\)-Adams spectral sequence