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arXiv · 2212.12564

T-structures on dg-categories and derived deformations

Francesco Genovese·Wendy Lowen·Michel Van den Bergh
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Abstract

This paper is a sequel to "t-structures and twisted complexes on derived injectives" by the same authors. We develop the foundations of the infinitesimal derived deformation theory of pretriangulated dg-categories endowed with t-structures. This generalizes the deformation theory of abelian categories developed by the last two authors. We show how deformations of dg-categories of derived injectives yield derived deformations of the associated t-structures.

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Francesco Genovese, Wendy Lowen, Michel Van den Bergh. 2022-12-23. T-structures on dg-categories and derived deformations. https://arxiv.org/abs/2212.12564

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