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arXiv · 1904.08881

Abstract Goerss-Hopkins theory

Piotr Pstrągowski·Paul VanKoughnett
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Abstract

We present an abstract version of Goerss-Hopkins theory in the setting of a prestable $\infty$-category equipped with a suitable periodicity operator. In the case of the $\infty$-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.

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Piotr Pstrągowski, Paul VanKoughnett. 2019-04-18. Abstract Goerss-Hopkins theory. https://arxiv.org/abs/1904.08881

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