Mahouton Norbert Hounkonnou
Invariance of the scalar curvature for the noncommutative $2$-torus equipped with a perturbed complex structure
This talk addresses a noncommutative $2$-torus $\mathcal{A}_{\theta}= C(\mathbb{T}^{2}_{\theta})$ equipped with a perturbed complex structure by inner derivation. The corresponding Laplacian and the perturbed pseudo-differential symbols are obtained. The local expression of the scalar curvature and its invariance are investigated.
