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arXiv · 2311.01663

Complex Orientations are Partial Strictifications of the Unit

Doron Grossman-Naples
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Abstract

We give a higher-algebraic interpretation of complex orientations of ring spectra as "$\mathbb{E}_2$ strictifications" of the identity element. We show that higher strictifications do not exist for most ring spectra of interest in chromatic homotopy theory.

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Doron Grossman-Naples. 2023-11-03. Complex Orientations are Partial Strictifications of the Unit. https://arxiv.org/abs/2311.01663

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