论文标题
对称和莫里塔等价的伪群
Pseudogroups of symmetries and Morita equivalences
论文作者
论文摘要
这项工作是一个正在进行的计划的衍生产品，旨在重新审视现代角度的原始研究对伪群和几何结构的原始研究。在配备特殊乘法形式的lie groupoid的框架内 - 称为pfaffian groupoids-我们专注于主要的偶像和莫里塔等价。特别是，我们详细讨论了Pfaffian Morita等效性的概念，其与Pfaffian环境中规格构建的关系以及其与主要行为的相互作用。我们简要介绍了一些示例和应用，并向对称性的及其对称性的伪造群提出，我们在Arxiv：2211.16639中详细探讨了这些示例和应用。
This work is a spin-off of an on-going programme which aims at revisiting the original studies of Lie and Cartan on pseudogroups and geometric structures from a modern perspective. Within the framework of Lie groupoids equipped with a special multiplicative form - called Pfaffian groupoids - we focus on principal bibundles and Morita equivalences. In particular, we discuss in details the notion of Pfaffian Morita equivalence, its relation to the gauge construction in the Pfaffian setting, and its interactions with principal actions. We briefly present some examples and applications to transitive pseudogroups of symmetries, which we explored in great detail in arXiv:2211.16639.
