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

Goncalo Tabuada

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

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arxiv math/0701205 v2 pith:YH4EQK3Y submitted 2007-01-07 math.KT math.AT

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

Goncalo Tabuada This is my paper

classification math.KT math.AT

keywords categorieshomotopymodelquillenhom-functorinternalmoritatheory

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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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