%0 Journal Article
%T Stacks of Ann-Categories and their morphisms
%A Ettore Aldrovandi
%J Mathematics
%D 2015
%I arXiv
%X We show that $\mathit{ann}$-categories admit a presentation by crossed bimodules, and prove that morphisms between them can be expressed by special kinds spans between the presentations. More precisely, we prove the groupoid of morphisms between two $\mathit{ann}$-categories is equivalent to that of bimodule butterflies between the presentations. A bimodule butterfly is a specialization of a butterfly, i.e. a special kind of span or fraction, between the underlying complexes
%U http://arxiv.org/abs/1501.07592v2