9 citations · 16 across the 6 of their papers we have counts for
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Postnikov towers, k-invariants and obstruction theory for DG categories
Goncalo Tabuada
By inspiring ourselves in Drinfeld's DG quotient, we develop Postnikov towers, k-invariants and an obstruction theory for dg categories. As an application, we obtain the following…
Differential graded versus Simplicial categories
Goncalo Tabuada
We construct a zig-zag of Quillen adjunctions between the homotopy theories of differential graded and simplicial categories. In an intermediate step we generalize Shipley-Schwede'…
Higher K-theory via universal invariants
Goncalo Tabuada
Using the formalism of Grothendieck's derivators, we construct `the universal localizing invariant of dg categories'. By this, we mean a morphism U_l from the pointed derivator ass…
Homotopy theory of Well-generated algebraic triangulated categories
Goncalo Tabuada
For every regular cardinal , we construct a cofibrantly generated Quillen model structure on a category whose objects are essentially DG categories which are stable under suspen…
A new Quillen model for the Morita homotopy theory of DG categories
Goncalo Tabuada
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 carr…
Invariants additifs de dg-categories
Goncalo Tabuada
With the help of the tools of Quillen's homotopical algebra, we construct `the universal additive invariant', namely a functor from the category of small dg categories to an additi…