Title:
Combinatorial
Descent Data for Gerbes
Authors:
Amnon Yekutieli
Publication status:
J.
Noncommutative Geometry, Volume
8, Issue 4, 2014, pp. 1083–1099. DOI: 10.4171/JNCG/179.
Eprint
arXiv:1109.1919 at
http://arxiv.org
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.
Electronic Preprint: paper
In Journal: paper
updated 2 May 2015