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arxiv: 0707.2405 · v1 · pith:5N3MHH2Ynew · submitted 2007-07-16 · 🧮 math.DG

Lectures on Poisson groupoids

classification 🧮 math.DG
keywords poissonbialgebroidsgroupoidsintegrationtheoryaccountalekseevapplications
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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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