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arXiv · 2603.24300

Enhanced left triangulated categories

Xiaofa Chen
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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.

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Xiaofa Chen. 2026-03-25. Enhanced left triangulated categories. https://arxiv.org/abs/2603.24300

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