论文标题
通过差异群的奇异亚晶型物的整合
Integration of singular subalgebroids by diffeological groupoids
论文作者
论文摘要
我们通过差异群体建立了一个奇异亚晶型物的整合理论。为此,我们挑出了满足特定特性的一类差异类固醇,并引入了分化 - 整合过程,它们在该过程中与单一的亚甲状腺相对应。我们对集成的定义区分了全能群与图形,尽管两者都分化到原始的单数亚gebroid:holomony groupoid满足一定的浸润特性,而图形则不满足。
We establish an integration theory for singular subalgebroids, by diffeological groupoids. To do so, we single out a class of diffeological groupoids satisfying specific properties, and we introduce a differentiation-integration procedure under which they correspond to singular subalgebroids. Our definition of integration distinguishes the holonomy groupoid from the graph, although both differentiate to the original singular subalgebroid: the holonomy groupoid satisfies a certain submersive property, while the graph does not.