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Algebraic models of stable Postnikov invariants Johnson, Niles

Description

We describe algebraic data in a symmetric monoidal 2-category which correspond to the bottom two Postnikov invariants of its \(K\)-theory spectrum. Our applications include: an obstruction to strictification of the symmetric monoidal structure, a model for the \(2\)-type of the sphere, and the units-Picard-Brauer sequence of commutative ring spectra. This is work in progress, joint with Nick Gurski and Angélica Osorno.

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