124 citations · 402 across the 57 of their papers we have counts for
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The fundamental isomorphism conjecture via non-commutative motives
Paul Balmer, Goncalo Tabuada
Given a group, we construct a fundamental additive functor on its orbit category. We prove that any isomorphism conjecture valid for this fundamental isomorphism functor holds for…
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…
Topological Hochschild and cyclic homology for Differential graded categories
Goncalo Tabuada
We define a topological Hochschild (THH) and cyclic (TC) homology theory for differential graded (dg) categories and construct several non-trivial natural transformations from alge…
Homotopy theory of Spectral categories
Goncalo Tabuada
We construct a Quillen model structure on the category of spectral categories, where the weak equivalences are the symmetric spectra analogue of the notion of equivalence of catego…