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

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

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K-Theory and Homology, Algebraic Topology, 18D10, 18G10, 18G55 (Primary) 18E30, 18E35 (Secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/123131

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0701205
 http://arxiv.org/abs/math/0701205

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arXiv