Quantization of Holomorphic Poisson structure --related to Generalized K\"ahler structure--
Abstract
It is known that holomorphic Poisson structures are closely related to theories of generalized K\"ahler geometry and bi-Hermitian structures. In this article, we introduce quantization of holomorphic Poisson structures which are closely related to generalized K\"ahler structures /bi-Hermitian structures. By resulting noncommutative product obtained via quantization, we also demonstrate computations with respect to concrete examples.
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