Calculating obstruction groups for E-infinity ring spectra

Tyler Lawson

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arXiv · 1709.09629

Calculating obstruction groups for E-infinity ring spectra

Tyler Lawson

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Abstract

We describe a special instance of the Goerss-Hopkins obstruction theory, due to Senger, for calculating the moduli of $E_\infty$ ring spectra with given mod-$p$ homology. In particular, for the $2$-primary Brown-Peterson spectrum we give a chain complex that calculates the first obstruction groups, locate the first potential genuine obstructions, and discuss how some of the obstruction classes can be interpreted in terms of secondary operations.

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Tyler Lawson. 2017-09-27. Calculating obstruction groups for E-infinity ring spectra. https://arxiv.org/abs/1709.09629

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