Lectures on Poisson groupoids

Mathematics – Differential Geometry

Scientific paper

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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 Jul

Scientific paper

10.2140/gtm.2011.17.473

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.

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