构造大型相对Fukaya范畴及其开-闭映射
Constructing the big relative Fukaya category, and its open--closed maps
AI总结：
本文在光滑复射影簇与正规交叉除子及半正定性假设下，构造了“大”相对Fukaya范畴及其开闭映射，证明了Abouzaid分裂生成准则，并建立了处理链层Floer运算与边界上链的通用框架。
摘要：
本文延续了作者与Perutz的先前工作，在半正定性假设下，该先前工作构造了光滑复射影簇相对于正规交叉除子的Seidel相对Fukaya范畴的“小”版本。在本文中，我们将其推广，在相同背景下构造了“大”相对Fukaya范畴及其闭-开和开-闭映射，并在此背景下证明了Abouzaid分裂生成准则。我们还建立了一个通用框架，用于在此背景下构造链层Floer理论运算，并高效处理符号和边界上链，这将在与Ganatra的后续工作中用于构造循环开-闭映射并确立其性质。
英文摘要：
This paper continues previous work of the author with Perutz, in which the `small' version of Seidel's relative Fukaya category of a smooth complex projective variety relative to a normal crossings divisor was constructed, under a semipositivity assumption. In the present work, we generalize this to construct the `big' relative Fukaya category in the same setting, as well as its closed--open and open--closed maps, and prove Abouzaid's split-generation criterion in this context. We also establish a general framework for constructing chain-level Floer-theoretic operations in this context, and dealing efficiently with signs and bounding cochains, which will be used in follow-up work with Ganatra to construct the cyclic open--closed map and establish its properties.
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。
