Realizability of the adams-novikov spectral sequence for formal a-modules

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Abstract

We show that the formal A-module Adams-Novikov spectral sequence of Ravenel does not naturally arise from a filtration on a map of spectra by examining the case A = Z[i]. We also prove that when A is the ring of integers in a nontrivial extension of Qp, the map (L,W) → (LA,WA) of Hopf algebroids, classifying formal groups and formal A-modules respectively, does not arise from compatible maps of E∞-ring spectra (MU,MUΛMU) → (R, S).

Original languageEnglish (US)
Pages (from-to)883-890
Number of pages8
JournalProceedings of the American Mathematical Society
Volume135
Issue number3
DOIs
StatePublished - Mar 1 2007

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