vix.ing · top · new · best · stats · spec

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

2007/01/07 by Gonçalo Tabuada, Tabuada, Goncalo
Mathematics · #18D10 #18E35 (Secondary) #18G10 #18G55 (Primary) 18E30 #Advanced Topics in Algebra #Algebraic Topology (math.AT) #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #K-Theory and Homology (math.KT)

paper · pdf · doi:10.48550/arxiv.math/0701205

openalex publication_date 2007/01/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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.

Related