Explicit Square Zero Obstruction Theory

Shaul Barkan

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Explicit Square Zero Obstruction Theory

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arxiv 2211.07034 v2 pith:PUZ7TNW2 submitted 2022-11-13 math.AT math.ACmath.RA

Explicit Square Zero Obstruction Theory

Shaul Barkan This is my paper

classification math.AT math.ACmath.RA

keywords obstructionsquaretheoryzeroalgebrasapproacharbitrarycanonically

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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.

Explicit Square Zero Obstruction Theory

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