%0 Journal Article %T Hodge duality operators on left covariant exterior algebras over two and three dimensional quantum spheres %A Alessandro Zampini %J Mathematics %D 2011 %I arXiv %X Using non canonical braidings, we first introduce a notion of symmetric tensors and corresponding Hodge operators on a class of left covariant 3d differential calculi over the quantum SU(2) group, then we induce Hodge operators on the left covariant 2d exterior algebras over the standard Podles quantum sphere. %U http://arxiv.org/abs/1112.6383v2