TY - JOUR
T1 - Realizability of the adams-novikov spectral sequence for formal a-modules
AU - Lawson, Tyler
PY - 2007/3
Y1 - 2007/3
N2 - 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).
AB - 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).
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U2 - 10.1090/S0002-9939-06-08521-2
DO - 10.1090/S0002-9939-06-08521-2
M3 - Article
AN - SCOPUS:77950670017
SN - 0002-9939
VL - 135
SP - 883
EP - 890
JO - Proceedings of the American Mathematical Society
JF - Proceedings of the American Mathematical Society
IS - 3
ER -