The E_2-term of the K(n)-local E_n-Adams spectral sequence
Peer reviewed, Journal article
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OriginalversjonTopology and its Applications. 2016, 206 190-214. https://doi.org/10.1016/j.topol.2016.03.024
Let E=Enbe Morava E-theory of height n. InDevinatz and Hopkins introduced the K(n)-local En-Adams spectral sequence and showed that, under certain conditions, the E2-term of this spectral sequence can be identified with continuous group cohomology. We work with the category of L-complete E∨∗E-comodules, and show that in a number of cases the E2-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.