Abstract
We give a simple geometric description of all formal differentiable deformation quantizations on a Kähler manifoldM such that for each open subsetU⊂M ⋆-multiplication from the left by a holomorphic function and from the right by an antiholomorphic function onU coincides with the pointwise multiplication by these functions. We show that these quantizations are in 1-1 correspondence with the formal deformations of the original Kähler metrics onM.
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Communicated by H. Araki
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Karabegov, A.V. Deformation quantizations with separation of variables on a Kähler manifold. Commun.Math. Phys. 180, 745–755 (1996). https://doi.org/10.1007/BF02099631
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DOI: https://doi.org/10.1007/BF02099631