Strict units of commutative ring spectra

2019/11/26 by Fung, Jun Hou
#Algebraic Topology (math.AT) #FOS: Mathematics

paper · doi:10.48550/arxiv.1911.11850

Abstract

We provide computational tools to calculate the strict units of commutative ring spectra. We describe the Goerss-Hopkins-Miller spectral sequence for computing strict units of E_∞-H\mathbbF_p-algebras, and use it to compute the strict units of polynomial and truncated polynomial rings, whose Postnikov towers we also analyze. We then sketch the calculation of the strict units of other rings, such as S⁰, using the symmetric product of spheres filtration and transfers.

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