English

Integration of Lie bialgebroids

dg-ga 2007-05-23 v1 Differential Geometry

Abstract

We prove that under certain mild assumptions a Lie bialgebroid integrates to a Poisson groupoid. This includes, in particular, a new proof of the existence of local symplectic groupoids for any Poisson manifold, a theorem of Karasev and of Weinstein.

Keywords

Cite

@article{arxiv.dg-ga/9712012,
  title  = {Integration of Lie bialgebroids},
  author = {Kirill C. H. Mackenzie and Ping Xu},
  journal= {arXiv preprint arXiv:dg-ga/9712012},
  year   = {2007}
}

Comments

26 pages, LaTeX