论文标题
显式平方零阻塞理论
Explicit Square Zero Obstruction Theory
论文作者
论文摘要
我们在$ \ mathbb {e} _1 $ -Algebras上为模块上的模块开发了零障碍理论,以任意稳定(目前)单型$ \ infty $ -pategory。我们明确将阻塞元件描述为规范构造的地图的同质类别。我们的方法阐明了非共同设置的一些微妙特征。
We develop square zero obstruction theory for modules over $\mathbb{E}_1$-algebras in an arbitrary stable (presentably) monoidal $\infty$-category. We explicitly describe the obstruction element as the homotopy class of a canonically constructed map. Our approach clarifies some subtle features of the non-connective setting.