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Explicit Square Zero Obstruction Theory
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classification
math.ATmath.ACmath.RA
keywords
obstructionsquaretheoryzeroalgebrasapproacharbitrarycanonically
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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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