Notes on 1- and 2-gerbes
Category Theory
2007-05-23 v2 High Energy Physics - Theory
Algebraic Geometry
Algebraic Topology
Abstract
These notes discuss in an informal manner the construction and some properties of 1- and 2-gerbes. They are mainly based on the author's previous work in this area, which is reviewed here, and to some extent improved upon. The main emphasis is on the description of the explicit manner in which one associates an appropriately defined non-abelian cocycle to a given 1- or 2-gerbe with chosen local trivializations.
Keywords
Cite
@article{arxiv.math/0611317,
title = {Notes on 1- and 2-gerbes},
author = {Lawrence Breen},
journal= {arXiv preprint arXiv:math/0611317},
year = {2007}
}
Comments
Some changes to the text, a diagram added