56 citations · 119 across the 18 of their papers we have counts for
7 papers · 1 filter
Symmetric Monoidal Bicategories and Biextensions
Ettore Aldrovandi, Milind Gunjal
We study monoidal 2-categories and bicategories in terms of categorical extensions and the cohomological data they determine in appropriate cohomology theories with coefficients in…
On Multi-Determinant Functors for Triangulated Categories
Ettore Aldrovandi, Cynthia Lester
We extend Deligne's notion of determinant functor to tensor triangulated categories. Specifically, to account for the multiexact structure of the tensor, we define a determinant fu…
Stacks of Ann-Categories and their morphisms
Ettore Aldrovandi
We show that -categories admit a presentation by crossed bimodules, and prove that morphisms between them can be expressed by special kinds spans between the presenta…
Biextensions, bimonoidal functors, multilinear functor calculus, and categorical rings
Ettore Aldrovandi
We associate to a bimonoidal functor, i.e. a bifunctor which is monoidal in each variable, a nonabelian version of a biextension. We show that such a biextension satisfies addition…
Butterflies I: morphisms of 2-group stacks
Ettore Aldrovandi, Behrang Noohi
Weak morphisms of non-abelian complexes of length 2, or crossed modules, are morphisms of the associated 2-group stacks, or gr-stacks. We present a full description of the weak mor…
2-Gerbes bound by complexes of gr-stacks, and cohomology
Ettore Aldrovandi
We define 2-gerbes bound by complexes of braided group-like stacks. We prove a classification result in terms of hypercohomology groups with values in abelian crossed squares and c…