Hopf fibration and monopole connection over the contact quantum spheres
arXiv:math/0301123 · doi:10.1016/j.geomphys.2003.09.009
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.
15 pages, LaTeX