Integration of Lie bialgebroids

Details Integration of Lie bialgebroids Integration of Lie bialgebroids

1997-12-22

arxiv.org/abs/dg-ga/9712012v1

Mathematics

Differential Geometry

26 pages, LaTeX

Scientific paper

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.

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