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arXiv · 1403.7709

Quantization of Holomorphic Poisson structure --related to Generalized K\"{a}hler structure--

Naoya Miyazaki
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Abstract

It is known that holomorphic Poisson structures are closely related to theories of generalized K\"{a}hler geometry and bi-Hermitian structures. In this article, we introduce quantization of holomorphic Poisson structures which are closely related to generalized K\"{a}hler 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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Naoya Miyazaki. 2014-03-30. Quantization of Holomorphic Poisson structure --related to Generalized K\"{a}hler structure--. https://arxiv.org/abs/1403.7709

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