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Regular version of the site

Article

Generators in formal deformations of categories

Compositio Mathematica. 2018. Vol. 154. P. 2055-2089.

In this paper we use the theory of formal moduli problems developed by Lurie in order
to study the space of formal deformations of a k-linear 1-category for a eld k. Our
main result states that if C is a k-linear 1-category which has a compact generator
whose groups of self-extensions vanish for suciently high positive degrees, then every
formal deformation of C has zero curvature and moreover admits a compact generator.