Covariantly functorial wrapped Floer theory on Liouville sectors
Covariantly functorial wrapped Floer theory on Liouville sectors
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DOI：
10.1007/s10240-019-00112-x
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发表时间：
2017-06
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影响因子：
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通讯作者：
Sheel Ganatra;J. Pardon;V. Shende
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文献类型：
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作者：
Sheel Ganatra;J. Pardon;V. Shende
我们引入了一类带边界的Liouville流形，我们称之为Liouville扇形。我们定义了Liouville扇区的包裹型Fukaya范畴、辛上同调和开闭映射，并证明了这些不变量对于Liouville扇区的包含是协变函数的。从这一基本设置出发，阿博扎伊德的生成标准遵循了从局部到全球的基本原则。
We introduce a class of Liouville manifolds with boundary which we call Liouville sectors. We define the wrapped Fukaya category, symplectic cohomology, and the open-closed map for Liouville sectors, and we show that these invariants are covariantly functorial with respect to inclusions of Liouville sectors. From this foundational setup, a local-to-global principle for Abouzaid’s generation criterion follows.