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Monopole Bundles over Fuzzy Complex Projective Spaces

arXiv:hep-th/0404130 · doi:10.1016/j.geomphys.2004.11.001

Abstract

We give a construction of the monopole bundles over fuzzy complex projective spaces as projective modules. The corresponding Chern classes are calculated. They reduce to the monopole charges in the N -> infinity limit, where N labels the representation of the fuzzy algebra.

30 pages, LaTeX, published version; extended discussion on asymptotic Chern numbers