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

Abstract

We prove that, under mild assumptions, the Q-shaped derived categories introduced by Holm and Jrgensen 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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