Formality and strongly unique enhancements
K-Theory and Homology
2026-02-27 v4
Abstract
Inspired by the intrinsic formality of graded algebras, we prove a necessary and sufficient condition for strongly uniqueness of DG-enhancements. This approach offers a generalization to linearity over any commutative ring. In particular, we obtain several new examples of triangulated categories with a strongly unique DG-enhancement. Moreover, we also show that the bounded derived category of an exact category has a unique enhancement.
Cite
@article{arxiv.2204.09527,
title = {Formality and strongly unique enhancements},
author = {Antonio Lorenzin},
journal= {arXiv preprint arXiv:2204.09527},
year = {2026}
}
Comments
32 pages. Improved exposition based on referees' insights