Reflexivity and Hochschild Cohomology
Algebraic Geometry
2026-05-12 v2 Category Theory
Representation Theory
Abstract
We characterise reflexive DG-categories, as introduced by Kuznetsov and Shinder, as the reflexive objects in the closed symmetric monoidal category of DG-categories localised at Morita equivalences. As consequences, we show that the Hochschild cohomology and the derived Picard group of a reflexive DG-category coincide with those of its derived category of cohomologically finite modules.
Cite
@article{arxiv.2403.09299,
title = {Reflexivity and Hochschild Cohomology},
author = {Isambard Goodbody},
journal= {arXiv preprint arXiv:2403.09299},
year = {2026}
}
Comments
Paper restructured and some proof simplified