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A new Quillen model for the Morita homotopy theory of DG categories

Goncalo Tabuada
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Abstract

We construct a new Quillen model, based on the notions of Drinfeld's DG quotient and localization pair, for the Morita homotopy theory of DG categories. This new Quillen model carries a natural closed symmetric monoidal structure and allows us to re-interpret Toen's construction of the internal Hom-functor for the homotopy category of DG categories as a total right derived internal Hom-functor.

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Goncalo Tabuada. 2007-02-02. A new Quillen model for the Morita homotopy theory of DG categories. https://arxiv.org/abs/math/0701205

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