Vector bundles over Lie groupoids and algebroids
Differential Geometry
2016-01-26 v1 Symplectic Geometry
Abstract
We study VB-groupoids and VB-algebroids, which are vector bundles in the realm of Lie groupoids and Lie algebroids. Through a suitable reformulation of their definitions, we elucidate the Lie theory relating these objects, i.e., their relation via differentiation and integration. We also show how to extend our techniques to describe the more general Lie theory underlying double Lie algebroids and LA-groupoids.
Cite
@article{arxiv.1410.5135,
title = {Vector bundles over Lie groupoids and algebroids},
author = {Henrique Bursztyn and Alejandro Cabrera and Matias del Hoyo},
journal= {arXiv preprint arXiv:1410.5135},
year = {2016}
}
Comments
37 pages