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Line bundles on quantum spheres

Tomasz Brzezinski·Shahn Majid
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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.

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Tomasz Brzezinski, Shahn Majid. 1998-07-10. Line bundles on quantum spheres. https://doi.org/10.1063/1.57118

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