to appear in J. NoncommutativeGeometry Academic Article uri icon

abstract

  • 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.

publication date

  • September 1, 2011