A universal Dirac operator and noncommutative spin bundles over fuzzy complex projective spaces

Understand

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.
• To our knowledge the spin^c spectrum for CP^n with n>=3 is new.