AI 中文总结
研究卡拉比-丘流形的变形量子化，通过记录孔采维奇形式性态射的卡拉比-丘流形版本，发现单模全纯泊松卡拉比-丘流形有典范闭变形量子化，旨在借助森-兹维巴赫弦顶点在该范畴解释孔采维奇变形量子化。
AI 中文摘要
我们记录了来自变形量子化的孔采维奇形式性态射的卡拉比-丘流形版本。作为特殊情况，我们发现任何单模全纯泊松卡拉比-丘流形对其函数解析代数都有一个典范的闭变形量子化。更广泛的动机是通过森-兹维巴赫的弦顶点在卡拉比-丘范畴的背景下解释孔采维奇的变形量子化。
英文摘要
We record the Calabi-Yau version of Kontsevich's formality morphism from deformation quantization. As a special case we find that any unimodular holomorphic Poisson Calabi-Yau has a canonical closed deformation quantization of its resolved algebra of functions. A broader motivation is to find an explanation of Kontsevich's deformation quantization in the setting of Calabi-Yau categories via Sen-Zwiebach's string vertices.
CommentsMinor modifications. Small discussion about holomorphic Chern-Simons added. 13 pages
