Connections on locally trivial quantum principal fibre bundles
Quantum Algebra
2015-06-26 v1
Abstract
Following the approach of Budzy\'nski and Kondracki, we define covariant differential algebras and connections on locally trivial quantum principal fibre bundles. We also consider covariant derivatives, connection forms and curvatures and explore the relations between these notions. As an example, a U(1) quantum principal bundle over a glued quantum sphere and a connection in this bundle is constructed. This connection may be interpreted as a q-deformed Dirac monopole.
Keywords
Cite
@article{arxiv.math/0002228,
title = {Connections on locally trivial quantum principal fibre bundles},
author = {Dirk Calow and Rainer Matthes},
journal= {arXiv preprint arXiv:math/0002228},
year = {2015}
}
Comments
42 pages