Mathematics – Differential Geometry
Scientific paper
2007-07-16
Mathematics
Differential Geometry
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.
Laurent-Gengoux Camille
Stienon Mathieu
Xu Ping
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