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

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

2007-01-07

arxiv.org/abs/math/0701205v2

Mathematics

K-Theory and Homology

20 pages. A mistake in the proof of theorem 7.1 has been corrected. Section 4 added

Scientific paper

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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