T-structures on dg-categories and derived deformations
Category Theory
2022-12-27 v1 K-Theory and Homology
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.
Cite
@article{arxiv.2212.12564,
title = {T-structures on dg-categories and derived deformations},
author = {Francesco Genovese and Wendy Lowen and Michel Van den Bergh},
journal= {arXiv preprint arXiv:2212.12564},
year = {2022}
}
Comments
56 pages