Bundle gerbes: stable isomorphism and local theory
Differential Geometry
2007-05-23 v1
Abstract
We consider the notion of stable isomorphism of bundle gerbes. It has the consequence that the stable isomorphism classes of bundle gerbes over a manifold M are in bijective correspondence with H^3(M, Z). Stable isomorphism sheds light on the local theory of bundle gerbes and enables us to develop a classifying theory for bundle gerbes using results of Gajer on BC^x bundles.
Cite
@article{arxiv.math/9908135,
title = {Bundle gerbes: stable isomorphism and local theory},
author = {Michael K. Murray and Daniel Stevenson},
journal= {arXiv preprint arXiv:math/9908135},
year = {2007}
}
Comments
13 pages, LaTeX