Line bundles on quantum spheres

Details Line bundles on quantum spheres Line bundles on quantum spheres

1998-07-10

arxiv.org/abs/math/9807052v1

AIP Conf.Proc.453:3-8,1998

Mathematics

Quantum Algebra

6 pages, LaTeX (uses aipproc.sty)

Scientific paper

10.1063/1.57118

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.

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