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  1. Noncommutative vector bundles over fuzzy CP^N and their covariant derivatives

    Audio, Transactions of the IRE Professional Gro... (2006)

    We generalise the construction of fuzzy CP^N in a manner that allows us to Access all noncommutative equivariant complex vector bundles over this space. We give a simplified construction of polarization tensors on S^2 that Generalizes to complex projective space, identify Laplacians and natural Nonc...
  2. A universal Dirac operator and noncommutative spin bundles over fuzzy complex projective spaces

    Audio, Transactions of the IRE Professional Gro... (2007)

    We present a universal Dirac operator for noncommutative spin and spin^c Bundles over fuzzy complex projective spaces. We give an explicit construction Of these bundles, which are described in terms of finite dimensional matrices, Calculate the spectrum and explicitly exhibit the Dirac eigenspinors....