A Geometric Approach to Noncommutative Principal Bundles
Differential Geometry
2012-04-01 v1 Mathematical Physics
math.MP
Abstract
From a geometrical point of view it is, so far, not sufficiently well understood what should be a "noncommutative principal bundle". Still, there is a well-developed abstract algebraic approach using the theory of Hopf algebras. An important handicap of this approach is the ignorance of topological and geometrical aspects. The aim of this thesis is to develop a geometrically oriented approach to the noncommutative geometry of principal bundles based on dynamical systems and the representation theory of the corresponding transformation group.
Keywords
Cite
@article{arxiv.1108.0311,
title = {A Geometric Approach to Noncommutative Principal Bundles},
author = {Stefan Wagner},
journal= {arXiv preprint arXiv:1108.0311},
year = {2012}
}
Comments
209 pages, PhD Thesis. arXiv admin note: text overlap with arXiv:math/0504295