Geodesic
Homotopy theory of $dg$ categories via localizing pairs and Drinfeld’s $dg$ quotient
Homology, homotopy, and applications, Tome 12 (2010) no. 1, pp. 187-219.

Voir la notice de l'article provenant de la source International Press of Boston

Using localizing pairs and Drinfeld’s $dg$ quotient we construct a new Quillen model for the homotopy theory of $dg$ categories. We prove that, in contrast with the original model, this new Quillen model carries a natural closed symmetric monoidal structure. As an application, we obtain a simple construction of the internal $Hom$-objects and a conceptual characterization of Toën’s previous work. Making use of this new Quillen model, Lowen has recently developed a derived deformation theory.
DOI : 10.4310/HHA.2010.v12.n1.a11
Classification : 18D20, 18G55
Keywords: $dg$ category, localization pair, Drinfeld $dg$ quotient, Quillen model category 
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     title = {Homotopy theory of $dg$ categories via localizing pairs and {Drinfeld{\textquoteright}s} $dg$ quotient},
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Gonçalo Tabuada. Homotopy theory of $dg$ categories via localizing pairs and Drinfeld’s $dg$ quotient. Homology, homotopy, and applications, Tome 12 (2010) no. 1, pp. 187-219. doi : 10.4310/HHA.2010.v12.n1.a11. http://geodesic.mathdoc.fr/articles/10.4310/HHA.2010.v12.n1.a11/

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