Hopf fibration and monopole connection over the contact quantum spheres

Details Hopf fibration and monopole connection over the contact quantum spheres Hopf fibration and monopole connection over the contact quantum spheres

2003-01-13

arxiv.org/abs/math/0301123v1

J. Geom. Phys. 50, 345-359, 2004

Mathematics

Quantum Algebra

15 pages, LaTeX

Scientific paper

10.1016/j.geomphys.2003.09.009

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.

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