Line bundles on quantum spheres
arXiv:math/9807052 · doi:10.1063/1.57118
Abstract
The (left coalgebra) line bundle associated to the quantum Hopf fibration of any quantum two-sphere is shown to be a finitely generated projective module. The corresponding projector is constructed and its monopole charge is computed. It is shown that the Dirac $q$-monopole connection on any quantum two-sphere induces the Grassmannian connection built with this projector.
6 pages, LaTeX (uses aipproc.sty)