Principal actions of stacky Lie groupoids

Autor:	Bursztyn, Henrique, Noseda, Francesco, Zhu, Chenchang
Rok vydání:	2015
Předmět:	Mathematics - Differential Geometry Mathematics - Category Theory
Druh dokumentu:	Working Paper
Popis:	Stacky Lie groupoids are generalizations of Lie groupoids in which the "space of arrows" of the groupoid is a differentiable stack. In this paper, we consider actions of stacky Lie groupoids on differentiable stacks and their associated quotients. We provide a characterization of principal actions of stacky Lie groupoids, i.e., actions whose quotients are again differentiable stacks in such a way that the projection onto the quotient is a principal bundle. As an application, we extend the notion of Morita equivalence of Lie groupoids to the realm of stacky Lie groupoids, providing examples that naturally arise from non-integrable Lie algebroids. Comment: 80 pages. v.2: new introduction. A shortened version of this paper is accepted at IMRN
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1510.09208 Zobrazit plný text záznamu View this record from Arxiv