Enhanced left triangulated categories
Category Theory
2026-03-26 v1 Representation Theory
Abstract
In this short note, we study dg categories with homotopy kernels, whose homotopy categories are known to admit a natural left triangulated structure. Prototypical examples of such dg categories arise as dg quotients of exact dg categories. We demonstrate that the stablization of the homotopy category of such a dg category admits a canonical dg enhancement via its bounded derived dg category.
Cite
@article{arxiv.2603.24300,
title = {Enhanced left triangulated categories},
author = {Xiaofa Chen},
journal= {arXiv preprint arXiv:2603.24300},
year = {2026}
}
Comments
7 pages