8 citations · 20 across the 6 of their papers we have counts for
9 papers · 1 filter
Deformation theory and cotangent complex of dg operads
Yonatan Harpaz, Truong Hoang
In the first part, we give an explicit description of the cotangent complex of differential graded (dg) operads, modeled as an operadic infinitesimal bimodule. This leads to a unif…
Trace methods for stable categories I: The linear approximation of algebraic K-theory
Yonatan Harpaz, Thomas Nikolaus, Victor Saunier
We study algebraic K-theory and topological Hochschild homology in the setting of bimodules over a stable category, a datum we refer to as a laced category. We show that in this se…
Fibrations and lax limits of -categories
Andrea Gagna, Yonatan Harpaz, Edoardo Lanari
We study four types of (co)cartesian fibrations of -bicategories over a given base , and prove that they encode the four variance flavors of -inde…
Gray tensor products and lax functors of -categories
Andrea Gagna, Yonatan Harpaz, Edoardo Lanari
We give a definition of the Gray tensor product in the setting of scaled simplicial sets which is associative and forms a left Quillen bifunctor with respect to the bicategorical m…
Lax limits of model categories
Yonatan Harpaz
For a diagram of simplicial combinatorial model categories, we show that the associated lax limit, endowed with the projective model structure, is a presentation of the lax limit o…
Quillen cohomology of -categories
Yonatan Harpaz, Joost Nuiten, Matan Prasma
In this paper we study the homotopy theory of parameterized spectrum objects in the -category of -categories, as well as the Quillen cohomology of an $(\infty,…