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arXiv · 2211.07034

Explicit Square Zero Obstruction Theory

Shaul Barkan
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Abstract

We develop square zero obstruction theory for modules over $\mathbb{E}_1$-algebras in an arbitrary stable (presentably) monoidal $\infty$-category. We explicitly describe the obstruction element as the homotopy class of a canonically constructed map. Our approach clarifies some subtle features of the non-connective setting.

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Shaul Barkan. 2022-11-13. Explicit Square Zero Obstruction Theory. https://arxiv.org/abs/2211.07034

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