English

Lectures on Poisson groupoids

Differential Geometry 2012-07-30 v1

Abstract

In these lecture notes, we give a quick account of the theory of Poisson groupoids and Lie bialgebroids. In particular, we discuss the universal lifting theorem and its applications including integration of quasi-Lie bialgebroids, integration of Poisson Nijenhuis structures and Alekseev and Kosmann-Schwarzbach's theory of D/G-momentum maps.

Keywords

Cite

@article{arxiv.0707.2405,
  title  = {Lectures on Poisson groupoids},
  author = {Camille Laurent-Gengoux and Mathieu Stienon and Ping Xu},
  journal= {arXiv preprint arXiv:0707.2405},
  year   = {2012}
}

Comments

27 pages, notes of lectures given by the third author at the summer school on Poisson geometry held at I.C.T.P. Trieste in July 2005

R2 v1 2026-06-21T08:58:51.393Z