%0 Journal Article
%T Noncommutative Kahler Geometry of the Standard Podles Sphere
%A R¨¦amonn ¨® Buachalla
%J Mathematics
%D 2014
%I arXiv
%X Building on the now established presentation of the standard Podles sphere as an example of a noncommutative complex structure, we investigate how its classical Kahler geometry behaves under $q$-deformation. Discussed are noncommutative versions of Hodge decomposition, Lefschetz decomposition, the Kahler identities, and the refinement of de Rham cohomology by Dolbeault cohomology
%U http://arxiv.org/abs/1401.1459v2