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Lectures on Poisson groupoids
Camille Laurent-Gengoux, Mathieu Stiénon and Ping
Xu
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Geometry & Topology Monographs 17
(2011) 473–502
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Abstract
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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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Keywords
Poisson groupoid, Lie bialgebroid
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Mathematical Subject Classification
Primary: 53D17
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Publication
Received: 18 May 2010
Accepted: 19 May 2010
Published: 20 April 2011
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