Generalised Connections and Curvature
Functional Analysis
2016-09-07 v2
Abstract
The concept of generalised (in the sense of Colombeau) connection on a principal fibre bundle is introduced. This definition is then used to extend results concerning the geometry of principal fibre bundles to those that only have a generalised connection. Some applications to singular solutions of Yang-Mills theory are given.
Cite
@article{arxiv.math/0403040,
title = {Generalised Connections and Curvature},
author = {Michael Kunzinger and Roland Steinbauer and James A. Vickers},
journal= {arXiv preprint arXiv:math/0403040},
year = {2016}
}
Comments
29 pages, added a result on generalized de Rham cohomology (Prop. 8.2)