Noncommutative principal torus bundles via parametrised strict deformation quantization
Mathematical Physics
2014-11-20 v2 High Energy Physics - Theory
Differential Geometry
math.MP
Quantum Algebra
Abstract
In this paper, we initiate the study of a parametrised version of Rieffel's strict deformation quantization. We apply it to give a classification of noncommutative principal torus bundles, in terms of parametrised strict deformation quantization of ordinary principal torus bundles. The paper also contains a putative definition of noncommutative non-principal torus bundles.
Cite
@article{arxiv.0911.1886,
title = {Noncommutative principal torus bundles via parametrised strict deformation quantization},
author = {Keith Hannabuss and Varghese Mathai},
journal= {arXiv preprint arXiv:0911.1886},
year = {2014}
}
Comments
15 pages. To appear in, Proceedings of Symposia of Pure Mathematics