论文标题
商的无限类别类别的通用特性和一个属性类别的本地化
Infinity-categorical universal properties of quotients and localizations of A-infinity-categories
论文作者
论文摘要
我们表明，某些动手A-Enfinity类别构建体满足了一个属性类别的无限类别中所需的普遍属性。对于足够的同伴A-赋值类别，两种用于A-赋值类别商的模型（由Lyubashenko-Manzyuk和Lyubashenko-Ovisienko构建），以及用于本地化模型（如Ganatra-Pardon-Shende所使用），满足了相关的通用属性。我们在同伴工作中应用结果，以证明2014年ICM的teleman猜想的Liouville版本。
We show that certain hands-on A-infinity-categorical constructions satisfy desirable universal properties in the infinity-category of A-infinity categories. For sufficiently cofibrant A-infinity categories, two models for quotients of A-infinity categories (as constructed by Lyubashenko-Manzyuk and Lyubashenko-Ovisienko), and a model for localizations (as used by Ganatra-Pardon-Shende), satisfy the relevant universal properties. We apply the results here in a companion work to prove a Liouville version of a conjecture of Teleman from the 2014 ICM.
