Homology, Homotopy and Applications
- Homology Homotopy Appl.
- Volume 12, Number 1 (2010), 187-219.
Homotopy theory of dg categories via localizing pairs and Drinfeld's dg quotient
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.
Homology Homotopy Appl., Volume 12, Number 1 (2010), 187-219.
First available in Project Euclid: 28 January 2011
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Tabuada, Gonçalo. Homotopy theory of dg categories via localizing pairs and Drinfeld's dg quotient. Homology Homotopy Appl. 12 (2010), no. 1, 187--219. https://projecteuclid.org/euclid.hha/1296223827