XLI Workshop on Geometric Methods in Physics Białystok, 1-6.07.2024 XIII School on Geometry and Physics Białystok, 8-12.07.2024

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.
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University of Białystok