English

Lie theory of vector bundles, Poisson geometry and double structures

Differential Geometry 2016-05-12 v1 Mathematical Physics math.MP

Abstract

We briefly review our results on the Lie theory underlying vector bundles over Lie groupoids and Lie algebroids, pointing out the role of Poisson geometry in extending these results to double Lie algebroids and LA-groupoids.

Keywords

Cite

@article{arxiv.1605.03200,
  title  = {Lie theory of vector bundles, Poisson geometry and double structures},
  author = {Henrique Bursztyn and Alejandro Cabrera and Matias del Hoyo},
  journal= {arXiv preprint arXiv:1605.03200},
  year   = {2016}
}

Comments

7 pages. Proceedings of the International Congress of Mathematical Physics, Santiago, 2015