An MU-analogue of the lambda algebra (Q1822093)

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scientific article; zbMATH DE number 4000991
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An MU-analogue of the lambda algebra
scientific article; zbMATH DE number 4000991

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    An MU-analogue of the lambda algebra (English)
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    1986
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    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 \(\Lambda^{MU}\).
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    Adams-Novikov spectral sequence
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    differential graded algebra
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    MU- cohomology theory
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    lambda algebra
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