Quantization of Holomorphic Poisson structure --related to Generalized Kähler structure--

It is known that holomorphic Poisson structures are closely related to theories of generalized Kähler geometry and bi-Hermitian structures. In this article, we introduce quantization of holomorphic Poisson structures which are closely related to generalized Kähler structures /bi-Hermitian structures. By resulting noncommutative product $\star$ obtained via quantization, we also demonstrate computations with respect to concrete examples.

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