2-Gerbes bound by complexes of gr-stacks, and cohomology
Category Theory
2008-08-28 v1 Algebraic Geometry
K-Theory and Homology
Abstract
We define 2-gerbes bound by complexes of braided group-like stacks. We prove a classification result in terms of hypercohomology groups with values in abelian crossed squares and cones of morphisms of complexes of length 3. We give an application to the geometric construction of certain elements in Hermitian Deligne cohomology groups.
Keywords
Cite
@article{arxiv.math/0512453,
title = {2-Gerbes bound by complexes of gr-stacks, and cohomology},
author = {Ettore Aldrovandi},
journal= {arXiv preprint arXiv:math/0512453},
year = {2008}
}
Comments
70 pages, latex+amsmath+xypic