English

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

Differential Geometry 2014-05-15 v2

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.

Keywords

Cite

@article{arxiv.1403.7709,
  title  = {Quantization of Holomorphic Poisson structure --related to Generalized K\"{a}hler structure--},
  author = {Naoya Miyazaki},
  journal= {arXiv preprint arXiv:1403.7709},
  year   = {2014}
}

Comments

arXiv admin note: text overlap with arXiv:1304.0184

R2 v1 2026-06-22T03:38:12.940Z