New examples of non-unique enhancements for triangulated categories

Fuente: arXiv
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Autores principales: Rizzardo, Alice, Symons, Julie, Bergh, Michel Van den
Formato: Preprint
Publicado: 2026
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author Rizzardo, Alice
Symons, Julie
Bergh, Michel Van den
author_facet Rizzardo, Alice
Symons, Julie
Bergh, Michel Van den
contents 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).
format Preprint
id arxiv_https___arxiv_org_abs_2603_25117
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle New examples of non-unique enhancements for triangulated categories
Rizzardo, Alice
Symons, Julie
Bergh, Michel Van den
Category Theory
K-Theory and Homology
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).
title New examples of non-unique enhancements for triangulated categories
topic Category Theory
K-Theory and Homology
url https://arxiv.org/abs/2603.25117