New examples of non-unique enhancements for triangulated categories
Category Theory
2026-03-27 v1 K-Theory and Homology
Abstract
We present a general procedure for constructing triangulated categories, linear over a field, with distinct enhancements. Some of our examples can be equipped with a (non-degenerate) t-structure, thereby showing that the existence of a t-structure does not imply uniqueness of enhancements, whether in the strong or weak sense (depending on the example).
Keywords
Cite
@article{arxiv.2603.25117,
title = {New examples of non-unique enhancements for triangulated categories},
author = {Alice Rizzardo and Julie Symons and Michel Van den Bergh},
journal= {arXiv preprint arXiv:2603.25117},
year = {2026}
}