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arXiv · 1410.5269

The $E_2$-term of the $K(n)$-local $E_n$-Adams spectral sequence

Tobias Barthel·Drew Heard
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Abstract

Let $E=E_n$ be Morava $E$-theory of height $n$. In previous work Devinatz and Hopkins introduced the $K(n)$-local $E_n$-Adams spectral sequence and showed that, under certain conditions, the $E_2$-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 $E_2$-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.

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BibTeXRIS

Tobias Barthel, Drew Heard. 2014-10-20. The $E_2$-term of the $K(n)$-local $E_n$-Adams spectral sequence. https://doi.org/10.1016/j.topol.2016.03.024

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