12 citations · 23 across the 4 of their papers we have counts for
4 papers · 1 filter
Higher-dimensional study of extensions via torsors
Cristiana Bertolin, Ahmet Emin Tatar
Let S be a site. First we define the 3-category of torsors under a Picard S-2-stack and we compute its homotopy groups. Using calculus of fractions we define also a pure algebraic…
Extensions of Picard 2-Stacks and the cohomology groups Ext^i of length 3 complexes
Cristiana Bertolin, Ahmet Emin Tatar
The aim of this paper is to define and study the 3-category of extensions of Picard 2-stacks over a site S and to furnish a geometrical description of the cohomology groups Ext^i o…
Notes on Weak Units of Group-Like 1- and 2-Stacks
Ettore Aldrovandi, Ahmet Emin Tatar
The weak units of strict monoidal 1- and 2-categories are already defined. In this paper, we define them for group-like 1- and 2-stacks. We show that they form a contractible Picar…
Length 3 Complexes of Abelian Sheaves and Picard 2-Stacks
A. Emin Tatar
We define a tricategory T of length 3 complexes of abelian sheaves, whose hom-bigroupoids consist of weak morphisms of such complexes. We also define a 3-category 2PIC(S) of Picard…