12 citations · 20 across the 2 of their papers we have counts for
4 papers
A Scalar Curvature Formula For the Noncommutative 3-Torus
Masoud Khalkhali, Ali Moatadelro, Sajad Sadeghi
We compute the scalar curvature of a curved noncommutative 3-torus. To perturb the flat metric, the standard volume form on the noncommutative 3-torus is conformally perturbed and…
A Riemann-Roch theorem for the noncommutative two torus
Masoud Khalkhali, Ali Moatadelro
We prove the analogue of the Riemann-Roch formula for the noncommutative two torus equipped with an arbitrary translation invariant complex structure and…
Noncommutative complex geometry of the quantum projective space
Masoud Khalkhali, Ali Moatadelro
We define holomorphic structures on canonical line bundles of the quantum projective space $\qp^{\ell}_q$ and identify their space of holomorphic sections. This determines the quan…
The homogeneous coordinate ring of the quantum projective plane
Masoud Khalkhali, Ali Moatadelro
We define holomorphic structures on canonical line bundles on the quantum projective plane. The space of holomorphic sections of these line bundles will determine the quantum homog…