Michal Eckstein

Title: The Moyal Sphere [pdf]
Abstract: I will present a family of constant curvature geometries on the Moyal plane arising from the conformal rescaling of the metric in the orthonormal frame approach. A particular solution, which corresponds to the Fubini–Study metric, equips the Moyal plane with the geometry of a noncommutative sphere. I will discuss the Gauss-Bonnet theorem and present some plots of the conformal factor in the regime of small deformation parameter.