共形块的缝合与传播
Sewing and Propagation of Conformal Blocks
AI总结：
本文澄清了共形块缝合与传播的关系，证明二者是可交换程序，并给出张量积顶点算子代数置换扭曲模的几何构造，为联系不同亏格共形块奠定基础。
摘要：
我们澄清了缝合与传播共形块之间的关系。特别地，我们证明缝合与传播是可交换的程序。作为一个应用，我们给出了张量积顶点算子代数（VOA）的置换扭曲模的几何构造。它们的第一个（代数）构造归功于 Barron-Dong-Mason。本文的结果和观点对于联系与张量积 VOA $V^{\otimes k}$ 相关的（亏格 0）置换扭曲共形块和与 $V$ 相关的（可能更高亏格的）非扭曲共形块至关重要，这将在即将开展的工作中讨论。
英文摘要：
We clarify the relations between sewing and propagating conformal blocks. In particular, we show that sewing and propagation and commuting procedures. As an application, we give a geometric construction of permutation-twisted modules for tensor product VOAs. Their first (algebraic) construction is due to Barron-Dong-Mason. The results and the point of view in this article are crucial for relating the (genus-0) permutation-twisted conformal blocks associated to a tensor product VOA $V^{\otimes k}$ and the untwisted conformal blocks (of possibly higher genera) associated to $V$, which will be discussed in an upcoming work.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
