A new Quillen model for the Morita homotopy theory of DG categories
arXiv:math/0701205
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.
20 pages. A mistake in the proof of theorem 7.1 has been corrected. Section 4 added