Hopf fibration and monopole connection over the contact quantum spheres
Quantum Algebra
2009-11-10 v1 Mathematical Physics
math.MP
Abstract
Noncommutative geometry of quantised contact spheres introduced by Omori, Maeda, Miyazaki and Yoshioka is studied. In particular it is proven that these spheres form a noncommutative Hopf fibration in the sense of Hopf-Galois extensions. The monopole (strong) connection is constructed, and projectors describing projective modules of all monopole charges are computed.
Keywords
Cite
@article{arxiv.math/0301123,
title = {Hopf fibration and monopole connection over the contact quantum spheres},
author = {Tomasz Brzezinski and Ludwik Dabrowski and Bartosz Zielinski},
journal= {arXiv preprint arXiv:math/0301123},
year = {2009}
}
Comments
15 pages, LaTeX