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2010 Homotopy theory of dg categories via localizing pairs and Drinfeld's dg quotient
Gonçalo Tabuada
Homology Homotopy Appl. 12(1): 187-219 (2010).

Abstract

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.

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Gonçalo Tabuada. "Homotopy theory of dg categories via localizing pairs and Drinfeld's dg quotient." Homology Homotopy Appl. 12 (1) 187 - 219, 2010.

Information

Published: 2010
First available in Project Euclid: 28 January 2011

zbMATH: 1278.18015
MathSciNet: MR2607415

Subjects:
Primary: 18D20, 18G55

Rights: Copyright © 2010 International Press of Boston

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Vol.12 • No. 1 • 2010
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