Volume 17 (2011)

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Lectures on Poisson groupoids

Camille Laurent-Gengoux, Mathieu Stiénon and Ping Xu

Geometry & Topology Monographs 17 (2011) 473–502

Abstract

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.

Keywords

Poisson groupoid, Lie bialgebroid

Mathematical Subject Classification

Primary: 53D17

References
Publication

Received: 18 May 2010
Accepted: 19 May 2010
Published: 20 April 2011

Authors
Camille Laurent-Gengoux
Departamento de Matemática
Universidade de Coimbra
Portugal
Mathieu Stiénon
Department of Mathematics
Penn State University
USA
Ping Xu
Department of Mathematics
Penn State University
USA