Realizability of the Adams-Novikov spectral sequence for formal $A$-modules
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- Proc. Amer. Math. Soc. 135 (2007), 883-890 Request permission
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 $A = \mathbb {Z}[i]$. We also prove that when $A$ is the ring of integers in a nontrivial extension of $\mathbb {Q}_p$, the map $(L,W) \to (L_A,W_A)$ of Hopf algebroids, classifying formal groups and formal $A$-modules respectively, does not arise from compatible maps of $E_\infty$-ring spectra $(MU,MU \wedge MU) \to (R,S)$.References
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Additional Information
- Tyler Lawson
- Affiliation: Department of Mathematics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139
- MR Author ID: 709060
- Email: tlawson@math.mit.edu
- Received by editor(s): September 25, 2005
- Published electronically: August 21, 2006
- Additional Notes: The author was supported in part by the NSF
- Communicated by: Paul Goerss
- © Copyright 2006
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 135 (2007), 883-890
- MSC (2000): Primary 55T25; Secondary 55N22, 14L05
- DOI: https://doi.org/10.1090/S0002-9939-06-08521-2
- MathSciNet review: 2262886