An MU-analogue of the lambda algebra
type: Item
instance of: scholarly article
title: An MU-analogue of the lambda algebra
zbMATH Open document ID: 0617.55010
author: Nobuo Shimada
published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University
publication date: 1986-01-01T00:00:00Z
review text: This paper constructs a differential graded algebra \(\Lambda^{MU}\) in MU-cohomology theory analogous to the lambda algebra in ordinary cohomology theory. The cohomology of the resulting cochain complex \(H^{s,t}(\Lambda^{MU},d)\) is isomorphic to \(Ext^{s,t}_{MU*MU}(MU_*,MU_*)\) and there is a spectral sequence of Adams-Novikov type for which the \(E_ 1\)-term is \(\Lambda^{MU}\).
Mathematics Subject Classification ID: 55T15
Mathematics Subject Classification ID: 55T25
Mathematics Subject Classification ID: 55N22
Mathematics Subject Classification ID: 57R77
zbMATH DE Number: 4000991
zbMATH Keywords: Adams-Novikov spectral sequence
zbMATH Keywords: differential graded algebra
zbMATH Keywords: MU- cohomology theory
zbMATH Keywords: lambda algebra
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.2977/prims/1195177069
OpenAlex ID: W2033990197
DOI: 10.2977/PRIMS/1195177069
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description: scientific article; zbMATH DE number 4000991