环绕层
Wrapped sheaves
AI总结：
通过局部化微支集远离给定集合的层范畴，构造了Lagrangian Floer理论中环绕Fukaya范畴的层论类比，并在次解析奇异迷向条件下证明了与无界层范畴紧致对象的等价性。
摘要：
我们利用Guillermou-Kashiwara-Schapira层量子化构建的延拓映射，对微支集远离某给定$Λ\subset S^*M$的层范畴进行局部化，从而构造出Lagrangian Floer理论中环绕Fukaya范畴的层论类比。当$Λ$为次解析奇异迷向时，我们还构造了一个比较映射，将其指向微支集在$Λ$中的无界层范畴的紧致对象范畴，并证明其为等价。最后这一陈述可视为Ganatra-Pardon-Shende的层-Fukaya比较定理的层论体现。
英文摘要：
We construct a sheaf-theoretic analogue of the wrapped Fukaya category in Lagrangian Floer theory, by localizing a category of sheaves microsupported away from some given $Λ\subset S^*M$ along continuation maps constructed using the Guillermou-Kashiwara-Schapira sheaf quantization. When $Λ$ is a subanalytic singular isotropic, we also construct a comparison map to the category of compact objects in the category of unbounded sheaves microsupported in $Λ$, and show that it is an equivalence. The last statement can be seen as a sheaf theoretical incarnation of the sheaf-Fukaya comparison theorem of Ganatra-Pardon-Shende.
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。
