The Fedosov class of the Wick type star-product Available to Purchase

The closed two-form is presented whose cohomological class coincides with the Fedosov class of the Wick-type star-product. For the case of the Kähler manifold this class is shown to be related to the first Chern class. In particular, we prove that the Wick type star-product on a Kähler manifold is equivalent to that of the Weyl type if the manifold is the Calabi-Yau one.