Glanon groupoids
Differential Geometry
2017-08-08 v2 Mathematical Physics
math.MP
Abstract
We introduce the notion of Glanon groupoids, which are Lie groupoids equipped with multiplicative generalized complex structures. It combines symplectic groupoids, holomorphic Lie groupoids and holomorphic Poisson groupoids into a unified framework. Their infinitesimal, Glanon Lie algebroids are studied. We prove that there is a bijection between Glanon Lie algebroids and source-simply connected and source-connected Glanon groupoids. As a consequence, we recover various integration theorem and obtain the integration theorem for holomorphic Poisson groupoids.
Cite
@article{arxiv.1109.5011,
title = {Glanon groupoids},
author = {Madeleine Jotz and Mathieu Stiénon and Ping Xu},
journal= {arXiv preprint arXiv:1109.5011},
year = {2017}
}
Comments
Improved version