Combinatorial Descent Data for Gerbes
arXiv:1109.1919
Abstract
We consider descent data in cosimplicial crossed groupoids. This is a combinatorial abstraction of the descent data for gerbes in algebraic geometry. The main result is this: a weak equivalence between cosimplicial crossed groupoids induces a bijection on gauge equivalence classes of descent data.
13 pages, 2 figures. Final version, to appear in J. Noncommutative Geometry