Abstract Goerss-Hopkins theory
Algebraic Topology
2021-10-27 v4
Abstract
We present an abstract version of Goerss-Hopkins theory in the setting of a prestable -category equipped with a suitable periodicity operator. In the case of the -category of synthetic spectra, this yields obstructions to realizing a comodule algebra as a homology of a commutative ring spectrum, recovering the results of Goerss and Hopkins.
Keywords
Cite
@article{arxiv.1904.08881,
title = {Abstract Goerss-Hopkins theory},
author = {Piotr Pstrągowski and Paul VanKoughnett},
journal= {arXiv preprint arXiv:1904.08881},
year = {2021}
}
Comments
37 pages, comments welcome. Edited in response to referee comments and to add Example 8.8 due to Robert Burklund