Line bundles on quantum spheres
Quantum Algebra
2010-12-13 v1 Mathematical Physics
math.MP
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 -monopole connection on any quantum two-sphere induces the Grassmannian connection built with this projector.
Keywords
Cite
@article{arxiv.math/9807052,
title = {Line bundles on quantum spheres},
author = {Tomasz Brzezinski and Shahn Majid},
journal= {arXiv preprint arXiv:math/9807052},
year = {2010}
}
Comments
6 pages, LaTeX (uses aipproc.sty)