论文标题

DG类别和衍生变形的T结构

T-structures on dg-categories and derived deformations

论文作者

Genovese, Francesco, Lowen, Wendy, Bergh, Michel Van den

论文摘要

本文是同一位作者的“ T结构和扭曲的复合物”的续集。我们开发了带有T结构的预先调节的DG类别的无限衍生的变形理论的基础。这概括了最后两位作者开发的阿贝尔类别的变形理论。我们展示了衍生注射剂的DG类别的变形如何产生相关T结构的衍生变形。

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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