The $E_2$-term of the $K(n)$-local $E_n$-Adams spectral sequence
Algebraic Topology
2016-03-30 v2
Abstract
Let be Morava -theory of height . In previous work Devinatz and Hopkins introduced the -local -Adams spectral sequence and showed that, under certain conditions, the -term of this spectral sequence can be identified with continuous group cohomology. We work with the category of -complete -comodules, and show that in a number of cases the -term of the above spectral sequence can be computed by a relative Ext group in this category. We give suitable conditions for when we can identify this Ext group with continuous group cohomology.
Keywords
Cite
@article{arxiv.1410.5269,
title = {The $E_2$-term of the $K(n)$-local $E_n$-Adams spectral sequence},
author = {Tobias Barthel and Drew Heard},
journal= {arXiv preprint arXiv:1410.5269},
year = {2016}
}
Comments
23 pages. Substantially revised and reorganized. Final version, to appear in Topology and its Applications