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Adjunctions of Quasi-Functors Between DG-Categories

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Abstract

We study right quasi-representable differential graded bimodules as quasi-functors between dg-categories. We prove that a quasi-functor has a left adjoint if and only if it is left quasi-representable. With this characterisation, we prove an existence result of adjoints, under suitable hypotheses on the dg-categories.

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  1. Dipartimento di Matematica “F. Casorati”, Università di Pavia, Via Ferrata 5, Pavia, 27100, PV, Italy

    Francesco Genovese

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  1. Francesco Genovese
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Correspondence to Francesco Genovese.

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Genovese, F. Adjunctions of Quasi-Functors Between DG-Categories. Appl Categor Struct 25, 625–657 (2017). https://doi.org/10.1007/s10485-016-9470-y

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  • DOI: https://doi.org/10.1007/s10485-016-9470-y

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