For a foliation ${ℱ}$ of a smooth complex manifold, we introduce the category ${𝒞}$ of $V$-structures associated to a vertex operator algebra $V$ and the category of its modules. The main result consists of the construction of $V$-structures and canonicity proof of ${𝒞}$ on ${ℱ}$.

中文翻译：

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关于叶状结构的一类 V 型结构

对于叶状${ℱ}$对于光滑复流形，我们引入范畴${𝒞}$的$V$- 与顶点算子代数相关的结构$V$及其模块的类别。主要结果包括构建$V$-结构和规范性证明${𝒞}$在${ℱ}$。