Combinatorial Descent Data for Gerbes
K-Theory and Homology
2014-05-02 v3 Algebraic Geometry
Algebraic Topology
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.
Cite
@article{arxiv.1109.1919,
title = {Combinatorial Descent Data for Gerbes},
author = {Amnon Yekutieli},
journal= {arXiv preprint arXiv:1109.1919},
year = {2014}
}
Comments
13 pages, 2 figures. Final version, to appear in J. Noncommutative Geometry