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arXiv · 2501.08255

$Q$-shaped derived categories as derived categories of differential graded bimodules

Gustavo Jasso
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Abstract

We prove that, under mild assumptions, the $Q$-shaped derived categories introduced by Holm and J{\o}rgensen are equivalent to derived categories of differential graded bimodules over differential graded categories. This yields new derived invariance results for $Q$-shaped derived categories that allow us to extend known descriptions of such categories as derived categories of differential graded bimodules over (possibly graded) algebras.

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Gustavo Jasso. 2025-01-14. $Q$-shaped derived categories as derived categories of differential graded bimodules. https://arxiv.org/abs/2501.08255

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