50 citations · 231 across the 36 of their papers we have counts for
10 papers · 1 filter
Derived universal Massey products
Fernando Muro
We define an obstruction to the formality of a differential graded algebra over a graded operad defined over a commutative ground ring. This obstruction lives in the derived operad…
Enhanced finite triangulated categories
Fernando Muro
We give a necessary and sufficient condition for the existence of an enhancement of a finite triangulated category. Moreover, we show that enhancements are unique when they exist,…
The first obstructions to enhancing a triangulated category
Fernando Muro
In this paper we relate triangulated category structures to the cohomology of small categories and define initial obstructions to the existence of an algebraic or topological enhan…
K-theory of derivators revisited
Fernando Muro, George Raptis
We define a -theory for pointed right derivators and show that it agrees with Waldhausen -theory in the case where the derivator arises from a good Waldhausen category. This…
A note on K-theory and triangulated derivators
Fernando Muro, George Raptis
In this paper we show an example of two differential graded algebras that have the same derivator K-theory but non-isomorphic Waldhausen K-theory. We also prove that Maltsiniotis's…
On determinant functors and -theory
Fernando Muro, Andrew Tonks, Malte Witte
In this paper we introduce a new approach to determinant functors which allows us to extend Deligne's determinant functors for exact categories to Waldhausen categories, (strongly)…