Poisson cohomology of SU(2)-covariant 'necklace' Poisson structures on S^{2}

Dmitry Roytenberg

We compute the Poisson cohomology of the one-parameter family of SU(2)-covariant Poisson structures on the homogeneous space S^{2}=CP^{1}=SU(2)/U(1), where SU(2) is endowed with it…