Noncommutative Ricci Curvature And Dirac Operator On B Q[su 2] At The Fourth Root Of Unity

Noncommutative ricci curvature and dirac operator on Bq[SU2] at the fourth root of unity ARM Boris Nima arm.boris@gmail.com Abstract We calculate the torsion free spin connection on the quantum group Bq[SU2] at the fourth root of unity. From this we deduce... More

Noncommutative ricci curvature and dirac operator on Bq[SU2] at the fourth root of unity ARM Boris Nima arm.boris@gmail.com Abstract We calculate the torsion free spin connection on the quantum group Bq[SU2] at the fourth root of unity. From this we deduce the covariant derivative and the Riemann curvature. Next we compute the Dirac operator of this quantum group and we give numerical approximations of its eigenvalues. Less